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Finding the Fourth Proportional to 243,722.28, 365,613.50 and 118,969

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Solution

The fourth proportional to 243,722.28, 365,613.50 and 118,969 is: 178,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,722.28 : 365,613.50 = 118,969 : x
  2. Step 2: Convert to fraction form
    243,722.28/365,613.50 = 118,969/x
  3. Step 3: Cross multiply
    243,722.28x = 365,613.50 × 118,969
  4. Step 4: Simplify right side
    243,722.28x = 43,496,672,481.50
  5. Step 5: Solve for x
    x = 43,496,672,481.50/243,722.28
  6. Step 6: Final answer
    x = 178,468.18

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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.