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Finding the Fourth Proportional to 208,851.08, 288,083.40 and 123,908

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Solution

The fourth proportional to 208,851.08, 288,083.40 and 123,908 is: 170,915.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,851.08 : 288,083.40 = 123,908 : x
  2. Step 2: Convert to fraction form
    208,851.08/288,083.40 = 123,908/x
  3. Step 3: Cross multiply
    208,851.08x = 288,083.40 × 123,908
  4. Step 4: Simplify right side
    208,851.08x = 35,695,837,927.20
  5. Step 5: Solve for x
    x = 35,695,837,927.20/208,851.08
  6. Step 6: Final answer
    x = 170,915.27

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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.