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Finding the Fourth Proportional to 243,839.38, 365,771.31 and 77,640.34

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Solution

The fourth proportional to 243,839.38, 365,771.31 and 77,640.34 is: 116,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,839.38 : 365,771.31 = 77,640.34 : x
  2. Step 2: Convert to fraction form
    243,839.38/365,771.31 = 77,640.34/x
  3. Step 3: Cross multiply
    243,839.38x = 365,771.31 × 77,640.34
  4. Step 4: Simplify right side
    243,839.38x = 28,398,608,870.65
  5. Step 5: Solve for x
    x = 28,398,608,870.65/243,839.38
  6. Step 6: Final answer
    x = 116,464.41

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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.