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Finding the Fourth Proportional to 138,604.77, 207,929.59 and 54,319.23

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Solution

The fourth proportional to 138,604.77, 207,929.59 and 54,319.23 is: 81,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,604.77 : 207,929.59 = 54,319.23 : x
  2. Step 2: Convert to fraction form
    138,604.77/207,929.59 = 54,319.23/x
  3. Step 3: Cross multiply
    138,604.77x = 207,929.59 × 54,319.23
  4. Step 4: Simplify right side
    138,604.77x = 11,294,575,223.02
  5. Step 5: Solve for x
    x = 11,294,575,223.02/138,604.77
  6. Step 6: Final answer
    x = 81,487.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.