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Finding the Fourth Proportional to 267,982.40, 402,017.34 and 90,500.06

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Solution

The fourth proportional to 267,982.40, 402,017.34 and 90,500.06 is: 135,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,982.40 : 402,017.34 = 90,500.06 : x
  2. Step 2: Convert to fraction form
    267,982.40/402,017.34 = 90,500.06/x
  3. Step 3: Cross multiply
    267,982.40x = 402,017.34 × 90,500.06
  4. Step 4: Simplify right side
    267,982.40x = 36,382,593,391.04
  5. Step 5: Solve for x
    x = 36,382,593,391.04/267,982.40
  6. Step 6: Final answer
    x = 135,764.86

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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.