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Finding the Fourth Proportional to 268,123.92, 402,185.46 and 68,444.34

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Solution

The fourth proportional to 268,123.92, 402,185.46 and 68,444.34 is: 102,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,123.92 : 402,185.46 = 68,444.34 : x
  2. Step 2: Convert to fraction form
    268,123.92/402,185.46 = 68,444.34/x
  3. Step 3: Cross multiply
    268,123.92x = 402,185.46 × 68,444.34
  4. Step 4: Simplify right side
    268,123.92x = 27,527,318,367.30
  5. Step 5: Solve for x
    x = 27,527,318,367.30/268,123.92
  6. Step 6: Final answer
    x = 102,666.40

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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.