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Finding the Fourth Proportional to 71,488.29, 107,197.68 and 21,559.08

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Solution

The fourth proportional to 71,488.29, 107,197.68 and 21,559.08 is: 32,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,488.29 : 107,197.68 = 21,559.08 : x
  2. Step 2: Convert to fraction form
    71,488.29/107,197.68 = 21,559.08/x
  3. Step 3: Cross multiply
    71,488.29x = 107,197.68 × 21,559.08
  4. Step 4: Simplify right side
    71,488.29x = 2,311,083,358.93
  5. Step 5: Solve for x
    x = 2,311,083,358.93/71,488.29
  6. Step 6: Final answer
    x = 32,328.14

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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.