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Finding the Fourth Proportional to 80,137.68, 120,265.58 and 38,017.89

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Solution

The fourth proportional to 80,137.68, 120,265.58 and 38,017.89 is: 57,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,137.68 : 120,265.58 = 38,017.89 : x
  2. Step 2: Convert to fraction form
    80,137.68/120,265.58 = 38,017.89/x
  3. Step 3: Cross multiply
    80,137.68x = 120,265.58 × 38,017.89
  4. Step 4: Simplify right side
    80,137.68x = 4,572,243,591.23
  5. Step 5: Solve for x
    x = 4,572,243,591.23/80,137.68
  6. Step 6: Final answer
    x = 57,054.85

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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.