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Finding the Fourth Proportional to 275,374.62, 413,066.49 and 75,693.78

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Solution

The fourth proportional to 275,374.62, 413,066.49 and 75,693.78 is: 113,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,374.62 : 413,066.49 = 75,693.78 : x
  2. Step 2: Convert to fraction form
    275,374.62/413,066.49 = 75,693.78/x
  3. Step 3: Cross multiply
    275,374.62x = 413,066.49 × 75,693.78
  4. Step 4: Simplify right side
    275,374.62x = 31,266,564,019.43
  5. Step 5: Solve for x
    x = 31,266,564,019.43/275,374.62
  6. Step 6: Final answer
    x = 113,541.92

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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.