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Finding the Fourth Proportional to 71,871.19, 99,182.27 and 40,042.17

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Solution

The fourth proportional to 71,871.19, 99,182.27 and 40,042.17 is: 55,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,871.19 : 99,182.27 = 40,042.17 : x
  2. Step 2: Convert to fraction form
    71,871.19/99,182.27 = 40,042.17/x
  3. Step 3: Cross multiply
    71,871.19x = 99,182.27 × 40,042.17
  4. Step 4: Simplify right side
    71,871.19x = 3,971,473,416.43
  5. Step 5: Solve for x
    x = 3,971,473,416.43/71,871.19
  6. Step 6: Final answer
    x = 55,258.21

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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.