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Finding the Fourth Proportional to 70,862.32, 106,220.56 and 31,438

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Solution

The fourth proportional to 70,862.32, 106,220.56 and 31,438 is: 47,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,862.32 : 106,220.56 = 31,438 : x
  2. Step 2: Convert to fraction form
    70,862.32/106,220.56 = 31,438/x
  3. Step 3: Cross multiply
    70,862.32x = 106,220.56 × 31,438
  4. Step 4: Simplify right side
    70,862.32x = 3,339,361,965.28
  5. Step 5: Solve for x
    x = 3,339,361,965.28/70,862.32
  6. Step 6: Final answer
    x = 47,124.65

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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.