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Finding the Fourth Proportional to 71,319.40, 106,946.70 and 31,856.20

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Solution

The fourth proportional to 71,319.40, 106,946.70 and 31,856.20 is: 47,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,319.40 : 106,946.70 = 31,856.20 : x
  2. Step 2: Convert to fraction form
    71,319.40/106,946.70 = 31,856.20/x
  3. Step 3: Cross multiply
    71,319.40x = 106,946.70 × 31,856.20
  4. Step 4: Simplify right side
    71,319.40x = 3,406,915,464.54
  5. Step 5: Solve for x
    x = 3,406,915,464.54/71,319.40
  6. Step 6: Final answer
    x = 47,769.83

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1.5x scale

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.