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Finding the Fourth Proportional to 72,658.64, 108,948.44 and 22,717.20

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Solution

The fourth proportional to 72,658.64, 108,948.44 and 22,717.20 is: 34,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,658.64 : 108,948.44 = 22,717.20 : x
  2. Step 2: Convert to fraction form
    72,658.64/108,948.44 = 22,717.20/x
  3. Step 3: Cross multiply
    72,658.64x = 108,948.44 × 22,717.20
  4. Step 4: Simplify right side
    72,658.64x = 2,475,003,501.17
  5. Step 5: Solve for x
    x = 2,475,003,501.17/72,658.64
  6. Step 6: Final answer
    x = 34,063.44

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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.