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Finding the Fourth Proportional to 109,873.62, 164,499.12 and 72,320.76

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Solution

The fourth proportional to 109,873.62, 164,499.12 and 72,320.76 is: 108,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,873.62 : 164,499.12 = 72,320.76 : x
  2. Step 2: Convert to fraction form
    109,873.62/164,499.12 = 72,320.76/x
  3. Step 3: Cross multiply
    109,873.62x = 164,499.12 × 72,320.76
  4. Step 4: Simplify right side
    109,873.62x = 11,896,701,377.73
  5. Step 5: Solve for x
    x = 11,896,701,377.73/109,873.62
  6. Step 6: Final answer
    x = 108,276.23

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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.