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Finding the Fourth Proportional to 243,984.80, 365,977.20 and 86,229.20

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Solution

The fourth proportional to 243,984.80, 365,977.20 and 86,229.20 is: 129,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,984.80 : 365,977.20 = 86,229.20 : x
  2. Step 2: Convert to fraction form
    243,984.80/365,977.20 = 86,229.20/x
  3. Step 3: Cross multiply
    243,984.80x = 365,977.20 × 86,229.20
  4. Step 4: Simplify right side
    243,984.80x = 31,557,921,174.24
  5. Step 5: Solve for x
    x = 31,557,921,174.24/243,984.80
  6. Step 6: Final answer
    x = 129,343.80

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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.