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Finding the Fourth Proportional to 126,160, 189,240.03 and 51,320.86

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Solution

The fourth proportional to 126,160, 189,240.03 and 51,320.86 is: 76,981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,160 : 189,240.03 = 51,320.86 : x
  2. Step 2: Convert to fraction form
    126,160/189,240.03 = 51,320.86/x
  3. Step 3: Cross multiply
    126,160x = 189,240.03 × 51,320.86
  4. Step 4: Simplify right side
    126,160x = 9,711,961,086.03
  5. Step 5: Solve for x
    x = 9,711,961,086.03/126,160
  6. Step 6: Final answer
    x = 76,981.30

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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.