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Finding the Fourth Proportional to 71,841.60, 99,141.30 and 40,013.28

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Solution

The fourth proportional to 71,841.60, 99,141.30 and 40,013.28 is: 55,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,841.60 : 99,141.30 = 40,013.28 : x
  2. Step 2: Convert to fraction form
    71,841.60/99,141.30 = 40,013.28/x
  3. Step 3: Cross multiply
    71,841.60x = 99,141.30 × 40,013.28
  4. Step 4: Simplify right side
    71,841.60x = 3,966,968,596.46
  5. Step 5: Solve for x
    x = 3,966,968,596.46/71,841.60
  6. Step 6: Final answer
    x = 55,218.27

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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.