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Finding the Fourth Proportional to 109,872.62, 164,497.62 and 72,319.76

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Solution

The fourth proportional to 109,872.62, 164,497.62 and 72,319.76 is: 108,274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,872.62 : 164,497.62 = 72,319.76 : x
  2. Step 2: Convert to fraction form
    109,872.62/164,497.62 = 72,319.76/x
  3. Step 3: Cross multiply
    109,872.62x = 164,497.62 × 72,319.76
  4. Step 4: Simplify right side
    109,872.62x = 11,896,428,398.97
  5. Step 5: Solve for x
    x = 11,896,428,398.97/109,872.62
  6. Step 6: Final answer
    x = 108,274.73

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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.