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Finding the Fourth Proportional to 75,187.80, 112,658.65 and 45,515.70

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Solution

The fourth proportional to 75,187.80, 112,658.65 and 45,515.70 is: 68,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,187.80 : 112,658.65 = 45,515.70 : x
  2. Step 2: Convert to fraction form
    75,187.80/112,658.65 = 45,515.70/x
  3. Step 3: Cross multiply
    75,187.80x = 112,658.65 × 45,515.70
  4. Step 4: Simplify right side
    75,187.80x = 5,127,737,202.02
  5. Step 5: Solve for x
    x = 5,127,737,202.02/75,187.80
  6. Step 6: Final answer
    x = 68,199.06

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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.