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Finding the Fourth Proportional to 75,154.16, 112,737.64 and 19,750

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Solution

The fourth proportional to 75,154.16, 112,737.64 and 19,750 is: 29,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,154.16 : 112,737.64 = 19,750 : x
  2. Step 2: Convert to fraction form
    75,154.16/112,737.64 = 19,750/x
  3. Step 3: Cross multiply
    75,154.16x = 112,737.64 × 19,750
  4. Step 4: Simplify right side
    75,154.16x = 2,226,568,390
  5. Step 5: Solve for x
    x = 2,226,568,390/75,154.16
  6. Step 6: Final answer
    x = 29,626.68

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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.