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Finding the Fourth Proportional to 74,615.08, 102,965.70 and 41,078.92

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Solution

The fourth proportional to 74,615.08, 102,965.70 and 41,078.92 is: 56,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,615.08 : 102,965.70 = 41,078.92 : x
  2. Step 2: Convert to fraction form
    74,615.08/102,965.70 = 41,078.92/x
  3. Step 3: Cross multiply
    74,615.08x = 102,965.70 × 41,078.92
  4. Step 4: Simplify right side
    74,615.08x = 4,229,719,753.04
  5. Step 5: Solve for x
    x = 4,229,719,753.04/74,615.08
  6. Step 6: Final answer
    x = 56,687.20

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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.