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Finding the Fourth Proportional to 126,065.40, 189,098.10 and 42,959.40

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Solution

The fourth proportional to 126,065.40, 189,098.10 and 42,959.40 is: 64,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,065.40 : 189,098.10 = 42,959.40 : x
  2. Step 2: Convert to fraction form
    126,065.40/189,098.10 = 42,959.40/x
  3. Step 3: Cross multiply
    126,065.40x = 189,098.10 × 42,959.40
  4. Step 4: Simplify right side
    126,065.40x = 8,123,540,917.14
  5. Step 5: Solve for x
    x = 8,123,540,917.14/126,065.40
  6. Step 6: Final answer
    x = 64,439.10

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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.