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Finding the Fourth Proportional to 83,697.20, 115,201.68 and 75,722.48

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Solution

The fourth proportional to 83,697.20, 115,201.68 and 75,722.48 is: 104,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,697.20 : 115,201.68 = 75,722.48 : x
  2. Step 2: Convert to fraction form
    83,697.20/115,201.68 = 75,722.48/x
  3. Step 3: Cross multiply
    83,697.20x = 115,201.68 × 75,722.48
  4. Step 4: Simplify right side
    83,697.20x = 8,723,356,909.77
  5. Step 5: Solve for x
    x = 8,723,356,909.77/83,697.20
  6. Step 6: Final answer
    x = 104,225.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.