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Finding the Fourth Proportional to 71,275.76, 106,949.28 and 31,861.16

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Solution

The fourth proportional to 71,275.76, 106,949.28 and 31,861.16 is: 47,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,275.76 : 106,949.28 = 31,861.16 : x
  2. Step 2: Convert to fraction form
    71,275.76/106,949.28 = 31,861.16/x
  3. Step 3: Cross multiply
    71,275.76x = 106,949.28 × 31,861.16
  4. Step 4: Simplify right side
    71,275.76x = 3,407,528,121.96
  5. Step 5: Solve for x
    x = 3,407,528,121.96/71,275.76
  6. Step 6: Final answer
    x = 47,807.67

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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.