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Finding the Fourth Proportional to 208,109,353.88, 287,169,978.12 and 115,272,516.08

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Solution

The fourth proportional to 208,109,353.88, 287,169,978.12 and 115,272,516.08 is: 159,064,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,109,353.88 : 287,169,978.12 = 115,272,516.08 : x
  2. Step 2: Convert to fraction form
    208,109,353.88/287,169,978.12 = 115,272,516.08/x
  3. Step 3: Cross multiply
    208,109,353.88x = 287,169,978.12 × 115,272,516.08
  4. Step 4: Simplify right side
    208,109,353.88x = 33,102,805,920,530,948
  5. Step 5: Solve for x
    x = 33,102,805,920,530,948/208,109,353.88
  6. Step 6: Final answer
    x = 159,064,478.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.