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Finding the Fourth Proportional to 208,139.78, 287,165.84 and 127,483.22

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Solution

The fourth proportional to 208,139.78, 287,165.84 and 127,483.22 is: 175,885.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,139.78 : 287,165.84 = 127,483.22 : x
  2. Step 2: Convert to fraction form
    208,139.78/287,165.84 = 127,483.22/x
  3. Step 3: Cross multiply
    208,139.78x = 287,165.84 × 127,483.22
  4. Step 4: Simplify right side
    208,139.78x = 36,608,825,957.20
  5. Step 5: Solve for x
    x = 36,608,825,957.20/208,139.78
  6. Step 6: Final answer
    x = 175,885.77

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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.