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Finding the Fourth Proportional to 70,872.96, 106,294.80 and 31,404.90

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Solution

The fourth proportional to 70,872.96, 106,294.80 and 31,404.90 is: 47,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,872.96 : 106,294.80 = 31,404.90 : x
  2. Step 2: Convert to fraction form
    70,872.96/106,294.80 = 31,404.90/x
  3. Step 3: Cross multiply
    70,872.96x = 106,294.80 × 31,404.90
  4. Step 4: Simplify right side
    70,872.96x = 3,338,177,564.52
  5. Step 5: Solve for x
    x = 3,338,177,564.52/70,872.96
  6. Step 6: Final answer
    x = 47,100.86

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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.