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Finding the Fourth Proportional to 145,512.96, 200,806.44 and 80,981.10

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Solution

The fourth proportional to 145,512.96, 200,806.44 and 80,981.10 is: 111,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,512.96 : 200,806.44 = 80,981.10 : x
  2. Step 2: Convert to fraction form
    145,512.96/200,806.44 = 80,981.10/x
  3. Step 3: Cross multiply
    145,512.96x = 200,806.44 × 80,981.10
  4. Step 4: Simplify right side
    145,512.96x = 16,261,526,398.28
  5. Step 5: Solve for x
    x = 16,261,526,398.28/145,512.96
  6. Step 6: Final answer
    x = 111,753.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.