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Finding the Fourth Proportional to 268,602.06, 402,836.10 and 79,024.70

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Solution

The fourth proportional to 268,602.06, 402,836.10 and 79,024.70 is: 118,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,602.06 : 402,836.10 = 79,024.70 : x
  2. Step 2: Convert to fraction form
    268,602.06/402,836.10 = 79,024.70/x
  3. Step 3: Cross multiply
    268,602.06x = 402,836.10 × 79,024.70
  4. Step 4: Simplify right side
    268,602.06x = 31,834,001,951.67
  5. Step 5: Solve for x
    x = 31,834,001,951.67/268,602.06
  6. Step 6: Final answer
    x = 118,517.34

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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.