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Finding the Fourth Proportional to 115,503.73, 172,944.12 and 75,423.44

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Solution

The fourth proportional to 115,503.73, 172,944.12 and 75,423.44 is: 112,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,503.73 : 172,944.12 = 75,423.44 : x
  2. Step 2: Convert to fraction form
    115,503.73/172,944.12 = 75,423.44/x
  3. Step 3: Cross multiply
    115,503.73x = 172,944.12 × 75,423.44
  4. Step 4: Simplify right side
    115,503.73x = 13,044,040,458.17
  5. Step 5: Solve for x
    x = 13,044,040,458.17/115,503.73
  6. Step 6: Final answer
    x = 112,931.77

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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.