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Finding the Fourth Proportional to 71,142.72, 106,575.84 and 39,998.40

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Solution

The fourth proportional to 71,142.72, 106,575.84 and 39,998.40 is: 59,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,142.72 : 106,575.84 = 39,998.40 : x
  2. Step 2: Convert to fraction form
    71,142.72/106,575.84 = 39,998.40/x
  3. Step 3: Cross multiply
    71,142.72x = 106,575.84 × 39,998.40
  4. Step 4: Simplify right side
    71,142.72x = 4,262,863,078.66
  5. Step 5: Solve for x
    x = 4,262,863,078.66/71,142.72
  6. Step 6: Final answer
    x = 59,919.88

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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.