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Finding the Fourth Proportional to 202,340.14, 303,512.10 and 89,989.90

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Solution

The fourth proportional to 202,340.14, 303,512.10 and 89,989.90 is: 134,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,340.14 : 303,512.10 = 89,989.90 : x
  2. Step 2: Convert to fraction form
    202,340.14/303,512.10 = 89,989.90/x
  3. Step 3: Cross multiply
    202,340.14x = 303,512.10 × 89,989.90
  4. Step 4: Simplify right side
    202,340.14x = 27,313,023,527.79
  5. Step 5: Solve for x
    x = 27,313,023,527.79/202,340.14
  6. Step 6: Final answer
    x = 134,985.69

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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.