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Finding the Fourth Proportional to 71,742, 99,003.49 and 39,478.58

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Solution

The fourth proportional to 71,742, 99,003.49 and 39,478.58 is: 54,480.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,742 : 99,003.49 = 39,478.58 : x
  2. Step 2: Convert to fraction form
    71,742/99,003.49 = 39,478.58/x
  3. Step 3: Cross multiply
    71,742x = 99,003.49 × 39,478.58
  4. Step 4: Simplify right side
    71,742x = 3,908,517,200.24
  5. Step 5: Solve for x
    x = 3,908,517,200.24/71,742
  6. Step 6: Final answer
    x = 54,480.18

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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.