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Finding the Fourth Proportional to 268,200.76, 402,300.79 and 68,521.30

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Solution

The fourth proportional to 268,200.76, 402,300.79 and 68,521.30 is: 102,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,200.76 : 402,300.79 = 68,521.30 : x
  2. Step 2: Convert to fraction form
    268,200.76/402,300.79 = 68,521.30/x
  3. Step 3: Cross multiply
    268,200.76x = 402,300.79 × 68,521.30
  4. Step 4: Simplify right side
    268,200.76x = 27,566,173,121.83
  5. Step 5: Solve for x
    x = 27,566,173,121.83/268,200.76
  6. Step 6: Final answer
    x = 102,781.86

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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.