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Finding the Fourth Proportional to 81,105.20, 121,657.80 and 75,200.30

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Solution

The fourth proportional to 81,105.20, 121,657.80 and 75,200.30 is: 112,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,105.20 : 121,657.80 = 75,200.30 : x
  2. Step 2: Convert to fraction form
    81,105.20/121,657.80 = 75,200.30/x
  3. Step 3: Cross multiply
    81,105.20x = 121,657.80 × 75,200.30
  4. Step 4: Simplify right side
    81,105.20x = 9,148,703,057.34
  5. Step 5: Solve for x
    x = 9,148,703,057.34/81,105.20
  6. Step 6: Final answer
    x = 112,800.45

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1.5x scale

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.