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Finding the Fourth Proportional to 67,808, 93,575.68 and 38,000.64

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Solution

The fourth proportional to 67,808, 93,575.68 and 38,000.64 is: 52,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,808 : 93,575.68 = 38,000.64 : x
  2. Step 2: Convert to fraction form
    67,808/93,575.68 = 38,000.64/x
  3. Step 3: Cross multiply
    67,808x = 93,575.68 × 38,000.64
  4. Step 4: Simplify right side
    67,808x = 3,555,935,728.44
  5. Step 5: Solve for x
    x = 3,555,935,728.44/67,808
  6. Step 6: Final answer
    x = 52,441.24

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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.