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Finding the Fourth Proportional to 126,649.38, 189,786.08 and 70,412.12

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Solution

The fourth proportional to 126,649.38, 189,786.08 and 70,412.12 is: 105,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,649.38 : 189,786.08 = 70,412.12 : x
  2. Step 2: Convert to fraction form
    126,649.38/189,786.08 = 70,412.12/x
  3. Step 3: Cross multiply
    126,649.38x = 189,786.08 × 70,412.12
  4. Step 4: Simplify right side
    126,649.38x = 13,363,240,239.29
  5. Step 5: Solve for x
    x = 13,363,240,239.29/126,649.38
  6. Step 6: Final answer
    x = 105,513.66

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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.