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Finding the Fourth Proportional to 109,864.85, 164,346.08 and 87,721.47

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Solution

The fourth proportional to 109,864.85, 164,346.08 and 87,721.47 is: 131,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,864.85 : 164,346.08 = 87,721.47 : x
  2. Step 2: Convert to fraction form
    109,864.85/164,346.08 = 87,721.47/x
  3. Step 3: Cross multiply
    109,864.85x = 164,346.08 × 87,721.47
  4. Step 4: Simplify right side
    109,864.85x = 14,416,679,287.73
  5. Step 5: Solve for x
    x = 14,416,679,287.73/109,864.85
  6. Step 6: Final answer
    x = 131,221.95

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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.