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Finding the Fourth Proportional to 71,319.40, 106,892.70 and 31,834.60

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Solution

The fourth proportional to 71,319.40, 106,892.70 and 31,834.60 is: 47,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,319.40 : 106,892.70 = 31,834.60 : x
  2. Step 2: Convert to fraction form
    71,319.40/106,892.70 = 31,834.60/x
  3. Step 3: Cross multiply
    71,319.40x = 106,892.70 × 31,834.60
  4. Step 4: Simplify right side
    71,319.40x = 3,402,886,347.42
  5. Step 5: Solve for x
    x = 3,402,886,347.42/71,319.40
  6. Step 6: Final answer
    x = 47,713.33

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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.