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Finding the Fourth Proportional to 75,642.56, 113,425.11 and 42,353.69

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Solution

The fourth proportional to 75,642.56, 113,425.11 and 42,353.69 is: 63,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,642.56 : 113,425.11 = 42,353.69 : x
  2. Step 2: Convert to fraction form
    75,642.56/113,425.11 = 42,353.69/x
  3. Step 3: Cross multiply
    75,642.56x = 113,425.11 × 42,353.69
  4. Step 4: Simplify right side
    75,642.56x = 4,803,971,380.03
  5. Step 5: Solve for x
    x = 4,803,971,380.03/75,642.56
  6. Step 6: Final answer
    x = 63,508.84

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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.