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Finding the Fourth Proportional to 78,641.92, 117,869.92 and 77,764.96

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Solution

The fourth proportional to 78,641.92, 117,869.92 and 77,764.96 is: 116,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,641.92 : 117,869.92 = 77,764.96 : x
  2. Step 2: Convert to fraction form
    78,641.92/117,869.92 = 77,764.96/x
  3. Step 3: Cross multiply
    78,641.92x = 117,869.92 × 77,764.96
  4. Step 4: Simplify right side
    78,641.92x = 9,166,149,614.00
  5. Step 5: Solve for x
    x = 9,166,149,614.00/78,641.92
  6. Step 6: Final answer
    x = 116,555.52

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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.