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Finding the Fourth Proportional to 126,149.25, 189,223.88 and 51,310.11

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Solution

The fourth proportional to 126,149.25, 189,223.88 and 51,310.11 is: 76,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,149.25 : 189,223.88 = 51,310.11 : x
  2. Step 2: Convert to fraction form
    126,149.25/189,223.88 = 51,310.11/x
  3. Step 3: Cross multiply
    126,149.25x = 189,223.88 × 51,310.11
  4. Step 4: Simplify right side
    126,149.25x = 9,709,098,097.43
  5. Step 5: Solve for x
    x = 9,709,098,097.43/126,149.25
  6. Step 6: Final answer
    x = 76,965.17

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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.