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Finding the Fourth Proportional to 268,226.12, 402,414.54 and 78,691

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Solution

The fourth proportional to 268,226.12, 402,414.54 and 78,691 is: 118,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,226.12 : 402,414.54 = 78,691 : x
  2. Step 2: Convert to fraction form
    268,226.12/402,414.54 = 78,691/x
  3. Step 3: Cross multiply
    268,226.12x = 402,414.54 × 78,691
  4. Step 4: Simplify right side
    268,226.12x = 31,666,402,567.14
  5. Step 5: Solve for x
    x = 31,666,402,567.14/268,226.12
  6. Step 6: Final answer
    x = 118,058.61

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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.