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Finding the Fourth Proportional to 137,018.17, 205,387.17 and 77,728.60

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Solution

The fourth proportional to 137,018.17, 205,387.17 and 77,728.60 is: 116,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,018.17 : 205,387.17 = 77,728.60 : x
  2. Step 2: Convert to fraction form
    137,018.17/205,387.17 = 77,728.60/x
  3. Step 3: Cross multiply
    137,018.17x = 205,387.17 × 77,728.60
  4. Step 4: Simplify right side
    137,018.17x = 15,964,457,182.06
  5. Step 5: Solve for x
    x = 15,964,457,182.06/137,018.17
  6. Step 6: Final answer
    x = 116,513.43

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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.