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Finding the Fourth Proportional to 100,482.66, 138,667.80 and 55,164.84

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Solution

The fourth proportional to 100,482.66, 138,667.80 and 55,164.84 is: 76,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,482.66 : 138,667.80 = 55,164.84 : x
  2. Step 2: Convert to fraction form
    100,482.66/138,667.80 = 55,164.84/x
  3. Step 3: Cross multiply
    100,482.66x = 138,667.80 × 55,164.84
  4. Step 4: Simplify right side
    100,482.66x = 7,649,587,000.15
  5. Step 5: Solve for x
    x = 7,649,587,000.15/100,482.66
  6. Step 6: Final answer
    x = 76,128.43

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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.