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Finding the Fourth Proportional to 74,188.88, 102,380.65 and 40,654.88

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Solution

The fourth proportional to 74,188.88, 102,380.65 and 40,654.88 is: 56,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,188.88 : 102,380.65 = 40,654.88 : x
  2. Step 2: Convert to fraction form
    74,188.88/102,380.65 = 40,654.88/x
  3. Step 3: Cross multiply
    74,188.88x = 102,380.65 × 40,654.88
  4. Step 4: Simplify right side
    74,188.88x = 4,162,273,040.07
  5. Step 5: Solve for x
    x = 4,162,273,040.07/74,188.88
  6. Step 6: Final answer
    x = 56,103.73

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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.