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Finding the Fourth Proportional to 126,581, 189,747.30 and 70,448

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Solution

The fourth proportional to 126,581, 189,747.30 and 70,448 is: 105,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,581 : 189,747.30 = 70,448 : x
  2. Step 2: Convert to fraction form
    126,581/189,747.30 = 70,448/x
  3. Step 3: Cross multiply
    126,581x = 189,747.30 × 70,448
  4. Step 4: Simplify right side
    126,581x = 13,367,317,790.40
  5. Step 5: Solve for x
    x = 13,367,317,790.40/126,581
  6. Step 6: Final answer
    x = 105,602.88

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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.