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Finding the Fourth Proportional to 268,095.52, 402,143.01 and 68,415.90

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Solution

The fourth proportional to 268,095.52, 402,143.01 and 68,415.90 is: 102,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,095.52 : 402,143.01 = 68,415.90 : x
  2. Step 2: Convert to fraction form
    268,095.52/402,143.01 = 68,415.90/x
  3. Step 3: Cross multiply
    268,095.52x = 402,143.01 × 68,415.90
  4. Step 4: Simplify right side
    268,095.52x = 27,512,975,957.86
  5. Step 5: Solve for x
    x = 27,512,975,957.86/268,095.52
  6. Step 6: Final answer
    x = 102,623.78

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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.