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Finding the Fourth Proportional to 77,691.29, 116,733.92 and 72,467.06

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Solution

The fourth proportional to 77,691.29, 116,733.92 and 72,467.06 is: 108,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,691.29 : 116,733.92 = 72,467.06 : x
  2. Step 2: Convert to fraction form
    77,691.29/116,733.92 = 72,467.06/x
  3. Step 3: Cross multiply
    77,691.29x = 116,733.92 × 72,467.06
  4. Step 4: Simplify right side
    77,691.29x = 8,459,363,038.67
  5. Step 5: Solve for x
    x = 8,459,363,038.67/77,691.29
  6. Step 6: Final answer
    x = 108,884.32

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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.