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Finding the Fourth Proportional to 71,342.90, 106,989.10 and 20,731.40

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Solution

The fourth proportional to 71,342.90, 106,989.10 and 20,731.40 is: 31,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,342.90 : 106,989.10 = 20,731.40 : x
  2. Step 2: Convert to fraction form
    71,342.90/106,989.10 = 20,731.40/x
  3. Step 3: Cross multiply
    71,342.90x = 106,989.10 × 20,731.40
  4. Step 4: Simplify right side
    71,342.90x = 2,218,033,827.74
  5. Step 5: Solve for x
    x = 2,218,033,827.74/71,342.90
  6. Step 6: Final answer
    x = 31,089.76

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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.