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Finding the Fourth Proportional to 75,374.40, 112,996.80 and 38,438.40

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Solution

The fourth proportional to 75,374.40, 112,996.80 and 38,438.40 is: 57,624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,374.40 : 112,996.80 = 38,438.40 : x
  2. Step 2: Convert to fraction form
    75,374.40/112,996.80 = 38,438.40/x
  3. Step 3: Cross multiply
    75,374.40x = 112,996.80 × 38,438.40
  4. Step 4: Simplify right side
    75,374.40x = 4,343,416,197.12
  5. Step 5: Solve for x
    x = 4,343,416,197.12/75,374.40
  6. Step 6: Final answer
    x = 57,624.55

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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.