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Finding the Fourth Proportional to 100,289.88, 138,397.86 and 54,966.78

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Solution

The fourth proportional to 100,289.88, 138,397.86 and 54,966.78 is: 75,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,289.88 : 138,397.86 = 54,966.78 : x
  2. Step 2: Convert to fraction form
    100,289.88/138,397.86 = 54,966.78/x
  3. Step 3: Cross multiply
    100,289.88x = 138,397.86 × 54,966.78
  4. Step 4: Simplify right side
    100,289.88x = 7,607,284,723.09
  5. Step 5: Solve for x
    x = 7,607,284,723.09/100,289.88
  6. Step 6: Final answer
    x = 75,852.96

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1.5x scale

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.