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Finding the Fourth Proportional to 81,212.20, 121,818.30 and 53,218.60

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Solution

The fourth proportional to 81,212.20, 121,818.30 and 53,218.60 is: 79,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,212.20 : 121,818.30 = 53,218.60 : x
  2. Step 2: Convert to fraction form
    81,212.20/121,818.30 = 53,218.60/x
  3. Step 3: Cross multiply
    81,212.20x = 121,818.30 × 53,218.60
  4. Step 4: Simplify right side
    81,212.20x = 6,482,999,380.38
  5. Step 5: Solve for x
    x = 6,482,999,380.38/81,212.20
  6. Step 6: Final answer
    x = 79,827.90

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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.