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Finding the Fourth Proportional to 219,233.60, 328,936.80 and 86,091.20

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Solution

The fourth proportional to 219,233.60, 328,936.80 and 86,091.20 is: 129,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,233.60 : 328,936.80 = 86,091.20 : x
  2. Step 2: Convert to fraction form
    219,233.60/328,936.80 = 86,091.20/x
  3. Step 3: Cross multiply
    219,233.60x = 328,936.80 × 86,091.20
  4. Step 4: Simplify right side
    219,233.60x = 28,318,563,836.16
  5. Step 5: Solve for x
    x = 28,318,563,836.16/219,233.60
  6. Step 6: Final answer
    x = 129,170.73

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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.