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Finding the Fourth Proportional to 137,084.74, 205,627.10 and 77,117.20

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Solution

The fourth proportional to 137,084.74, 205,627.10 and 77,117.20 is: 115,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,084.74 : 205,627.10 = 77,117.20 : x
  2. Step 2: Convert to fraction form
    137,084.74/205,627.10 = 77,117.20/x
  3. Step 3: Cross multiply
    137,084.74x = 205,627.10 × 77,117.20
  4. Step 4: Simplify right side
    137,084.74x = 15,857,386,196.12
  5. Step 5: Solve for x
    x = 15,857,386,196.12/137,084.74
  6. Step 6: Final answer
    x = 115,675.79

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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.