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Finding the Fourth Proportional to 74,462.47, 102,759 and 40,470.96

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Solution

The fourth proportional to 74,462.47, 102,759 and 40,470.96 is: 55,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,462.47 : 102,759 = 40,470.96 : x
  2. Step 2: Convert to fraction form
    74,462.47/102,759 = 40,470.96/x
  3. Step 3: Cross multiply
    74,462.47x = 102,759 × 40,470.96
  4. Step 4: Simplify right side
    74,462.47x = 4,158,755,378.64
  5. Step 5: Solve for x
    x = 4,158,755,378.64/74,462.47
  6. Step 6: Final answer
    x = 55,850.35

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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.