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Finding the Fourth Proportional to 74,002.72, 102,121.68 and 40,468

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Solution

The fourth proportional to 74,002.72, 102,121.68 and 40,468 is: 55,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,002.72 : 102,121.68 = 40,468 : x
  2. Step 2: Convert to fraction form
    74,002.72/102,121.68 = 40,468/x
  3. Step 3: Cross multiply
    74,002.72x = 102,121.68 × 40,468
  4. Step 4: Simplify right side
    74,002.72x = 4,132,660,146.24
  5. Step 5: Solve for x
    x = 4,132,660,146.24/74,002.72
  6. Step 6: Final answer
    x = 55,844.71

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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.