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Finding the Fourth Proportional to 74,074, 102,224.28 and 40,542.16

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Solution

The fourth proportional to 74,074, 102,224.28 and 40,542.16 is: 55,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,074 : 102,224.28 = 40,542.16 : x
  2. Step 2: Convert to fraction form
    74,074/102,224.28 = 40,542.16/x
  3. Step 3: Cross multiply
    74,074x = 102,224.28 × 40,542.16
  4. Step 4: Simplify right side
    74,074x = 4,144,393,115.64
  5. Step 5: Solve for x
    x = 4,144,393,115.64/74,074
  6. Step 6: Final answer
    x = 55,949.36

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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.