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Finding the Fourth Proportional to 74,080.64, 102,231.10 and 40,089

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Solution

The fourth proportional to 74,080.64, 102,231.10 and 40,089 is: 55,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,080.64 : 102,231.10 = 40,089 : x
  2. Step 2: Convert to fraction form
    74,080.64/102,231.10 = 40,089/x
  3. Step 3: Cross multiply
    74,080.64x = 102,231.10 × 40,089
  4. Step 4: Simplify right side
    74,080.64x = 4,098,342,567.90
  5. Step 5: Solve for x
    x = 4,098,342,567.90/74,080.64
  6. Step 6: Final answer
    x = 55,322.72

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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.