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Finding the Fourth Proportional to 100,226.35, 138,312.40 and 54,905.97

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Solution

The fourth proportional to 100,226.35, 138,312.40 and 54,905.97 is: 75,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,226.35 : 138,312.40 = 54,905.97 : x
  2. Step 2: Convert to fraction form
    100,226.35/138,312.40 = 54,905.97/x
  3. Step 3: Cross multiply
    100,226.35x = 138,312.40 × 54,905.97
  4. Step 4: Simplify right side
    100,226.35x = 7,594,175,793.47
  5. Step 5: Solve for x
    x = 7,594,175,793.47/100,226.35
  6. Step 6: Final answer
    x = 75,770.25

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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.