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Finding the Fourth Proportional to 71,989.10, 99,344.28 and 39,724.01

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Solution

The fourth proportional to 71,989.10, 99,344.28 and 39,724.01 is: 54,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,989.10 : 99,344.28 = 39,724.01 : x
  2. Step 2: Convert to fraction form
    71,989.10/99,344.28 = 39,724.01/x
  3. Step 3: Cross multiply
    71,989.10x = 99,344.28 × 39,724.01
  4. Step 4: Simplify right side
    71,989.10x = 3,946,353,172.16
  5. Step 5: Solve for x
    x = 3,946,353,172.16/71,989.10
  6. Step 6: Final answer
    x = 54,818.76

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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.