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Finding the Fourth Proportional to 100,124.56, 138,221.76 and 57,674.80

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Solution

The fourth proportional to 100,124.56, 138,221.76 and 57,674.80 is: 79,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,124.56 : 138,221.76 = 57,674.80 : x
  2. Step 2: Convert to fraction form
    100,124.56/138,221.76 = 57,674.80/x
  3. Step 3: Cross multiply
    100,124.56x = 138,221.76 × 57,674.80
  4. Step 4: Simplify right side
    100,124.56x = 7,971,912,363.65
  5. Step 5: Solve for x
    x = 7,971,912,363.65/100,124.56
  6. Step 6: Final answer
    x = 79,619.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.