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Finding the Fourth Proportional to 72,697.53, 109,046.13 and 22,781.43

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Solution

The fourth proportional to 72,697.53, 109,046.13 and 22,781.43 is: 34,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,697.53 : 109,046.13 = 22,781.43 : x
  2. Step 2: Convert to fraction form
    72,697.53/109,046.13 = 22,781.43/x
  3. Step 3: Cross multiply
    72,697.53x = 109,046.13 × 22,781.43
  4. Step 4: Simplify right side
    72,697.53x = 2,484,226,777.37
  5. Step 5: Solve for x
    x = 2,484,226,777.37/72,697.53
  6. Step 6: Final answer
    x = 34,172.09

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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.