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Finding the Fourth Proportional to 80,399.16, 120,598.92 and 38,817

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Solution

The fourth proportional to 80,399.16, 120,598.92 and 38,817 is: 58,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,399.16 : 120,598.92 = 38,817 : x
  2. Step 2: Convert to fraction form
    80,399.16/120,598.92 = 38,817/x
  3. Step 3: Cross multiply
    80,399.16x = 120,598.92 × 38,817
  4. Step 4: Simplify right side
    80,399.16x = 4,681,288,277.64
  5. Step 5: Solve for x
    x = 4,681,288,277.64/80,399.16
  6. Step 6: Final answer
    x = 58,225.59

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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.