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Finding the Fourth Proportional to 268,215.96, 402,375.78 and 101,991

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Solution

The fourth proportional to 268,215.96, 402,375.78 and 101,991 is: 153,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,215.96 : 402,375.78 = 101,991 : x
  2. Step 2: Convert to fraction form
    268,215.96/402,375.78 = 101,991/x
  3. Step 3: Cross multiply
    268,215.96x = 402,375.78 × 101,991
  4. Step 4: Simplify right side
    268,215.96x = 41,038,708,177.98
  5. Step 5: Solve for x
    x = 41,038,708,177.98/268,215.96
  6. Step 6: Final answer
    x = 153,006.21

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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.