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Finding the Fourth Proportional to 132,223.60, 198,043.80 and 69,821.20

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Solution

The fourth proportional to 132,223.60, 198,043.80 and 69,821.20 is: 104,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,223.60 : 198,043.80 = 69,821.20 : x
  2. Step 2: Convert to fraction form
    132,223.60/198,043.80 = 69,821.20/x
  3. Step 3: Cross multiply
    132,223.60x = 198,043.80 × 69,821.20
  4. Step 4: Simplify right side
    132,223.60x = 13,827,655,768.56
  5. Step 5: Solve for x
    x = 13,827,655,768.56/132,223.60
  6. Step 6: Final answer
    x = 104,577.82

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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.