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Finding the Fourth Proportional to 90,194.40, 135,338.29 and 65,438.78

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Solution

The fourth proportional to 90,194.40, 135,338.29 and 65,438.78 is: 98,192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,194.40 : 135,338.29 = 65,438.78 : x
  2. Step 2: Convert to fraction form
    90,194.40/135,338.29 = 65,438.78/x
  3. Step 3: Cross multiply
    90,194.40x = 135,338.29 × 65,438.78
  4. Step 4: Simplify right side
    90,194.40x = 8,856,371,581.00
  5. Step 5: Solve for x
    x = 8,856,371,581.00/90,194.40
  6. Step 6: Final answer
    x = 98,192.03

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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.