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Finding the Fourth Proportional to 71,844.81, 99,148.90 and 40,013.71

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Solution

The fourth proportional to 71,844.81, 99,148.90 and 40,013.71 is: 55,220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,844.81 : 99,148.90 = 40,013.71 : x
  2. Step 2: Convert to fraction form
    71,844.81/99,148.90 = 40,013.71/x
  3. Step 3: Cross multiply
    71,844.81x = 99,148.90 × 40,013.71
  4. Step 4: Simplify right side
    71,844.81x = 3,967,314,883.48
  5. Step 5: Solve for x
    x = 3,967,314,883.48/71,844.81
  6. Step 6: Final answer
    x = 55,220.62

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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.