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Finding the Fourth Proportional to 268,129.14, 402,193.32 and 68,449.52

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Solution

The fourth proportional to 268,129.14, 402,193.32 and 68,449.52 is: 102,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,129.14 : 402,193.32 = 68,449.52 : x
  2. Step 2: Convert to fraction form
    268,129.14/402,193.32 = 68,449.52/x
  3. Step 3: Cross multiply
    268,129.14x = 402,193.32 × 68,449.52
  4. Step 4: Simplify right side
    268,129.14x = 27,529,939,701.21
  5. Step 5: Solve for x
    x = 27,529,939,701.21/268,129.14
  6. Step 6: Final answer
    x = 102,674.18

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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.