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Finding the Fourth Proportional to 121,286.20, 181,929.30 and 54,801.40

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Solution

The fourth proportional to 121,286.20, 181,929.30 and 54,801.40 is: 82,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,286.20 : 181,929.30 = 54,801.40 : x
  2. Step 2: Convert to fraction form
    121,286.20/181,929.30 = 54,801.40/x
  3. Step 3: Cross multiply
    121,286.20x = 181,929.30 × 54,801.40
  4. Step 4: Simplify right side
    121,286.20x = 9,969,980,341.02
  5. Step 5: Solve for x
    x = 9,969,980,341.02/121,286.20
  6. Step 6: Final answer
    x = 82,202.10

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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.