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Finding the Fourth Proportional to 70,577.12, 105,727.28 and 40,932.69

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Solution

The fourth proportional to 70,577.12, 105,727.28 and 40,932.69 is: 61,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,577.12 : 105,727.28 = 40,932.69 : x
  2. Step 2: Convert to fraction form
    70,577.12/105,727.28 = 40,932.69/x
  3. Step 3: Cross multiply
    70,577.12x = 105,727.28 × 40,932.69
  4. Step 4: Simplify right side
    70,577.12x = 4,327,701,375.64
  5. Step 5: Solve for x
    x = 4,327,701,375.64/70,577.12
  6. Step 6: Final answer
    x = 61,318.76

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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.