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Finding the Fourth Proportional to 268,234.30, 402,351.45 and 135,063.10

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Solution

The fourth proportional to 268,234.30, 402,351.45 and 135,063.10 is: 202,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,234.30 : 402,351.45 = 135,063.10 : x
  2. Step 2: Convert to fraction form
    268,234.30/402,351.45 = 135,063.10/x
  3. Step 3: Cross multiply
    268,234.30x = 402,351.45 × 135,063.10
  4. Step 4: Simplify right side
    268,234.30x = 54,342,834,126.50
  5. Step 5: Solve for x
    x = 54,342,834,126.50/268,234.30
  6. Step 6: Final answer
    x = 202,594.65

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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.