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Finding the Fourth Proportional to 268,302.68, 402,407.09 and 78,759.95

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Solution

The fourth proportional to 268,302.68, 402,407.09 and 78,759.95 is: 118,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,302.68 : 402,407.09 = 78,759.95 : x
  2. Step 2: Convert to fraction form
    268,302.68/402,407.09 = 78,759.95/x
  3. Step 3: Cross multiply
    268,302.68x = 402,407.09 × 78,759.95
  4. Step 4: Simplify right side
    268,302.68x = 31,693,560,177.56
  5. Step 5: Solve for x
    x = 31,693,560,177.56/268,302.68
  6. Step 6: Final answer
    x = 118,126.14

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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.