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Finding the Fourth Proportional to 71,682.71, 98,924.68 and 39,419.78

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Solution

The fourth proportional to 71,682.71, 98,924.68 and 39,419.78 is: 54,400.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,682.71 : 98,924.68 = 39,419.78 : x
  2. Step 2: Convert to fraction form
    71,682.71/98,924.68 = 39,419.78/x
  3. Step 3: Cross multiply
    71,682.71x = 98,924.68 × 39,419.78
  4. Step 4: Simplify right side
    71,682.71x = 3,899,589,122.17
  5. Step 5: Solve for x
    x = 3,899,589,122.17/71,682.71
  6. Step 6: Final answer
    x = 54,400.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.