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Finding the Fourth Proportional to 71,151.90, 106,739.36 and 21,892.38

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Solution

The fourth proportional to 71,151.90, 106,739.36 and 21,892.38 is: 32,842.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,151.90 : 106,739.36 = 21,892.38 : x
  2. Step 2: Convert to fraction form
    71,151.90/106,739.36 = 21,892.38/x
  3. Step 3: Cross multiply
    71,151.90x = 106,739.36 × 21,892.38
  4. Step 4: Simplify right side
    71,151.90x = 2,336,778,630.08
  5. Step 5: Solve for x
    x = 2,336,778,630.08/71,151.90
  6. Step 6: Final answer
    x = 32,842.11

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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.