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Finding the Fourth Proportional to 126,159.70, 189,089.70 and 66,964.90

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Solution

The fourth proportional to 126,159.70, 189,089.70 and 66,964.90 is: 100,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,159.70 : 189,089.70 = 66,964.90 : x
  2. Step 2: Convert to fraction form
    126,159.70/189,089.70 = 66,964.90/x
  3. Step 3: Cross multiply
    126,159.70x = 189,089.70 × 66,964.90
  4. Step 4: Simplify right side
    126,159.70x = 12,662,372,851.53
  5. Step 5: Solve for x
    x = 12,662,372,851.53/126,159.70
  6. Step 6: Final answer
    x = 100,367.81

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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.