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Finding the Fourth Proportional to 268,253.68, 402,014.19 and 135,223.94

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Solution

The fourth proportional to 268,253.68, 402,014.19 and 135,223.94 is: 202,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,253.68 : 402,014.19 = 135,223.94 : x
  2. Step 2: Convert to fraction form
    268,253.68/402,014.19 = 135,223.94/x
  3. Step 3: Cross multiply
    268,253.68x = 402,014.19 × 135,223.94
  4. Step 4: Simplify right side
    268,253.68x = 54,361,940,697.64
  5. Step 5: Solve for x
    x = 54,361,940,697.64/268,253.68
  6. Step 6: Final answer
    x = 202,651.24

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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.