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Finding the Fourth Proportional to 77,693.61, 116,737.44 and 72,469.38

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Solution

The fourth proportional to 77,693.61, 116,737.44 and 72,469.38 is: 108,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,693.61 : 116,737.44 = 72,469.38 : x
  2. Step 2: Convert to fraction form
    77,693.61/116,737.44 = 72,469.38/x
  3. Step 3: Cross multiply
    77,693.61x = 116,737.44 × 72,469.38
  4. Step 4: Simplify right side
    77,693.61x = 8,459,889,899.59
  5. Step 5: Solve for x
    x = 8,459,889,899.59/77,693.61
  6. Step 6: Final answer
    x = 108,887.85

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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.