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Finding the Fourth Proportional to 144,010.16, 198,744 and 80,360.40

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Solution

The fourth proportional to 144,010.16, 198,744 and 80,360.40 is: 110,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,010.16 : 198,744 = 80,360.40 : x
  2. Step 2: Convert to fraction form
    144,010.16/198,744 = 80,360.40/x
  3. Step 3: Cross multiply
    144,010.16x = 198,744 × 80,360.40
  4. Step 4: Simplify right side
    144,010.16x = 15,971,147,337.60
  5. Step 5: Solve for x
    x = 15,971,147,337.60/144,010.16
  6. Step 6: Final answer
    x = 110,902.92

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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.