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Finding the Fourth Proportional to 100,565.85, 138,775.48 and 55,250.00

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Solution

The fourth proportional to 100,565.85, 138,775.48 and 55,250.00 is: 76,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,565.85 : 138,775.48 = 55,250.00 : x
  2. Step 2: Convert to fraction form
    100,565.85/138,775.48 = 55,250.00/x
  3. Step 3: Cross multiply
    100,565.85x = 138,775.48 × 55,250.00
  4. Step 4: Simplify right side
    100,565.85x = 7,667,344,958.41
  5. Step 5: Solve for x
    x = 7,667,344,958.41/100,565.85
  6. Step 6: Final answer
    x = 76,242.03

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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.