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Finding the Fourth Proportional to 70,254.64, 105,375.13 and 38,654.31

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Solution

The fourth proportional to 70,254.64, 105,375.13 and 38,654.31 is: 57,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,254.64 : 105,375.13 = 38,654.31 : x
  2. Step 2: Convert to fraction form
    70,254.64/105,375.13 = 38,654.31/x
  3. Step 3: Cross multiply
    70,254.64x = 105,375.13 × 38,654.31
  4. Step 4: Simplify right side
    70,254.64x = 4,073,203,239.83
  5. Step 5: Solve for x
    x = 4,073,203,239.83/70,254.64
  6. Step 6: Final answer
    x = 57,977.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.