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Finding the Fourth Proportional to 75,471.40, 113,135.10 and 28,073.80

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Solution

The fourth proportional to 75,471.40, 113,135.10 and 28,073.80 is: 42,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,471.40 : 113,135.10 = 28,073.80 : x
  2. Step 2: Convert to fraction form
    75,471.40/113,135.10 = 28,073.80/x
  3. Step 3: Cross multiply
    75,471.40x = 113,135.10 × 28,073.80
  4. Step 4: Simplify right side
    75,471.40x = 3,176,132,170.38
  5. Step 5: Solve for x
    x = 3,176,132,170.38/75,471.40
  6. Step 6: Final answer
    x = 42,083.92

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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.