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Finding the Fourth Proportional to 268,278.80, 402,472.20 and 78,738.80

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Solution

The fourth proportional to 268,278.80, 402,472.20 and 78,738.80 is: 118,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,278.80 : 402,472.20 = 78,738.80 : x
  2. Step 2: Convert to fraction form
    268,278.80/402,472.20 = 78,738.80/x
  3. Step 3: Cross multiply
    268,278.80x = 402,472.20 × 78,738.80
  4. Step 4: Simplify right side
    268,278.80x = 31,690,178,061.36
  5. Step 5: Solve for x
    x = 31,690,178,061.36/268,278.80
  6. Step 6: Final answer
    x = 118,124.05

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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.