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Finding the Fourth Proportional to 71,158.32, 106,743.48 and 21,235.20

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Solution

The fourth proportional to 71,158.32, 106,743.48 and 21,235.20 is: 31,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,158.32 : 106,743.48 = 21,235.20 : x
  2. Step 2: Convert to fraction form
    71,158.32/106,743.48 = 21,235.20/x
  3. Step 3: Cross multiply
    71,158.32x = 106,743.48 × 21,235.20
  4. Step 4: Simplify right side
    71,158.32x = 2,266,719,146.50
  5. Step 5: Solve for x
    x = 2,266,719,146.50/71,158.32
  6. Step 6: Final answer
    x = 31,854.59

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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.