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Finding the Fourth Proportional to 202,291.40, 303,546.45 and 89,988.95

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Solution

The fourth proportional to 202,291.40, 303,546.45 and 89,988.95 is: 135,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,291.40 : 303,546.45 = 89,988.95 : x
  2. Step 2: Convert to fraction form
    202,291.40/303,546.45 = 89,988.95/x
  3. Step 3: Cross multiply
    202,291.40x = 303,546.45 × 89,988.95
  4. Step 4: Simplify right side
    202,291.40x = 27,315,826,311.73
  5. Step 5: Solve for x
    x = 27,315,826,311.73/202,291.40
  6. Step 6: Final answer
    x = 135,032.07

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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.