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Finding the Fourth Proportional to 70,861.61, 106,302.17 and 31,417.85

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Solution

The fourth proportional to 70,861.61, 106,302.17 and 31,417.85 is: 47,131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,861.61 : 106,302.17 = 31,417.85 : x
  2. Step 2: Convert to fraction form
    70,861.61/106,302.17 = 31,417.85/x
  3. Step 3: Cross multiply
    70,861.61x = 106,302.17 × 31,417.85
  4. Step 4: Simplify right side
    70,861.61x = 3,339,785,631.73
  5. Step 5: Solve for x
    x = 3,339,785,631.73/70,861.61
  6. Step 6: Final answer
    x = 47,131.10

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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.