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Finding the Fourth Proportional to 194,987.80, 292,481.70 and 54,770.20

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Solution

The fourth proportional to 194,987.80, 292,481.70 and 54,770.20 is: 82,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,987.80 : 292,481.70 = 54,770.20 : x
  2. Step 2: Convert to fraction form
    194,987.80/292,481.70 = 54,770.20/x
  3. Step 3: Cross multiply
    194,987.80x = 292,481.70 × 54,770.20
  4. Step 4: Simplify right side
    194,987.80x = 16,019,281,205.34
  5. Step 5: Solve for x
    x = 16,019,281,205.34/194,987.80
  6. Step 6: Final answer
    x = 82,155.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.