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Finding the Fourth Proportional to 243,604.20, 365,397.80 and 85,829.16

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Solution

The fourth proportional to 243,604.20, 365,397.80 and 85,829.16 is: 128,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,604.20 : 365,397.80 = 85,829.16 : x
  2. Step 2: Convert to fraction form
    243,604.20/365,397.80 = 85,829.16/x
  3. Step 3: Cross multiply
    243,604.20x = 365,397.80 × 85,829.16
  4. Step 4: Simplify right side
    243,604.20x = 31,361,786,239.85
  5. Step 5: Solve for x
    x = 31,361,786,239.85/243,604.20
  6. Step 6: Final answer
    x = 128,740.75

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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.