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Finding the Fourth Proportional to 268,241.31, 402,424.24 and 78,694.02

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Solution

The fourth proportional to 268,241.31, 402,424.24 and 78,694.02 is: 118,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,241.31 : 402,424.24 = 78,694.02 : x
  2. Step 2: Convert to fraction form
    268,241.31/402,424.24 = 78,694.02/x
  3. Step 3: Cross multiply
    268,241.31x = 402,424.24 × 78,694.02
  4. Step 4: Simplify right side
    268,241.31x = 31,668,381,191.04
  5. Step 5: Solve for x
    x = 31,668,381,191.04/268,241.31
  6. Step 6: Final answer
    x = 118,059.30

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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.