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Finding the Fourth Proportional to 126,059.80, 189,089.70 and 97,519.45

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Solution

The fourth proportional to 126,059.80, 189,089.70 and 97,519.45 is: 146,279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,059.80 : 189,089.70 = 97,519.45 : x
  2. Step 2: Convert to fraction form
    126,059.80/189,089.70 = 97,519.45/x
  3. Step 3: Cross multiply
    126,059.80x = 189,089.70 × 97,519.45
  4. Step 4: Simplify right side
    126,059.80x = 18,439,923,544.67
  5. Step 5: Solve for x
    x = 18,439,923,544.67/126,059.80
  6. Step 6: Final answer
    x = 146,279.18

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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.