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Finding the Fourth Proportional to 126,105.60, 189,192.96 and 99,897.60

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Solution

The fourth proportional to 126,105.60, 189,192.96 and 99,897.60 is: 149,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,105.60 : 189,192.96 = 99,897.60 : x
  2. Step 2: Convert to fraction form
    126,105.60/189,192.96 = 99,897.60/x
  3. Step 3: Cross multiply
    126,105.60x = 189,192.96 × 99,897.60
  4. Step 4: Simplify right side
    126,105.60x = 18,899,922,640.90
  5. Step 5: Solve for x
    x = 18,899,922,640.90/126,105.60
  6. Step 6: Final answer
    x = 149,873.78

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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.