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Finding the Fourth Proportional to 75,909.80, 113,864.70 and 47,916.20

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Solution

The fourth proportional to 75,909.80, 113,864.70 and 47,916.20 is: 71,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,909.80 : 113,864.70 = 47,916.20 : x
  2. Step 2: Convert to fraction form
    75,909.80/113,864.70 = 47,916.20/x
  3. Step 3: Cross multiply
    75,909.80x = 113,864.70 × 47,916.20
  4. Step 4: Simplify right side
    75,909.80x = 5,455,963,738.14
  5. Step 5: Solve for x
    x = 5,455,963,738.14/75,909.80
  6. Step 6: Final answer
    x = 71,874.30

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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.