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Finding the Fourth Proportional to 73,001.64, 109,502.57 and 20,411.08

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Solution

The fourth proportional to 73,001.64, 109,502.57 and 20,411.08 is: 30,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,001.64 : 109,502.57 = 20,411.08 : x
  2. Step 2: Convert to fraction form
    73,001.64/109,502.57 = 20,411.08/x
  3. Step 3: Cross multiply
    73,001.64x = 109,502.57 × 20,411.08
  4. Step 4: Simplify right side
    73,001.64x = 2,235,065,716.48
  5. Step 5: Solve for x
    x = 2,235,065,716.48/73,001.64
  6. Step 6: Final answer
    x = 30,616.65

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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.