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Finding the Fourth Proportional to 272,114.20, 408,171.30 and 105,902.20

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Solution

The fourth proportional to 272,114.20, 408,171.30 and 105,902.20 is: 158,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,114.20 : 408,171.30 = 105,902.20 : x
  2. Step 2: Convert to fraction form
    272,114.20/408,171.30 = 105,902.20/x
  3. Step 3: Cross multiply
    272,114.20x = 408,171.30 × 105,902.20
  4. Step 4: Simplify right side
    272,114.20x = 43,226,238,646.86
  5. Step 5: Solve for x
    x = 43,226,238,646.86/272,114.20
  6. Step 6: Final answer
    x = 158,853.30

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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.