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Finding the Fourth Proportional to 137,307.75, 189,487.59 and 77,691.75

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Solution

The fourth proportional to 137,307.75, 189,487.59 and 77,691.75 is: 107,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,307.75 : 189,487.59 = 77,691.75 : x
  2. Step 2: Convert to fraction form
    137,307.75/189,487.59 = 77,691.75/x
  3. Step 3: Cross multiply
    137,307.75x = 189,487.59 × 77,691.75
  4. Step 4: Simplify right side
    137,307.75x = 14,721,622,470.38
  5. Step 5: Solve for x
    x = 14,721,622,470.38/137,307.75
  6. Step 6: Final answer
    x = 107,216.25

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1.5x scale

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.