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Finding the Fourth Proportional to 137,307.50, 189,487.23 and 77,691.50

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Solution

The fourth proportional to 137,307.50, 189,487.23 and 77,691.50 is: 107,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,307.50 : 189,487.23 = 77,691.50 : x
  2. Step 2: Convert to fraction form
    137,307.50/189,487.23 = 77,691.50/x
  3. Step 3: Cross multiply
    137,307.50x = 189,487.23 × 77,691.50
  4. Step 4: Simplify right side
    137,307.50x = 14,721,547,129.55
  5. Step 5: Solve for x
    x = 14,721,547,129.55/137,307.50
  6. Step 6: Final answer
    x = 107,215.90

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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.