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Finding the Fourth Proportional to 140,446.71, 193,821.05 and 80,019.90

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Solution

The fourth proportional to 140,446.71, 193,821.05 and 80,019.90 is: 110,430.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,446.71 : 193,821.05 = 80,019.90 : x
  2. Step 2: Convert to fraction form
    140,446.71/193,821.05 = 80,019.90/x
  3. Step 3: Cross multiply
    140,446.71x = 193,821.05 × 80,019.90
  4. Step 4: Simplify right side
    140,446.71x = 15,509,541,238.94
  5. Step 5: Solve for x
    x = 15,509,541,238.94/140,446.71
  6. Step 6: Final answer
    x = 110,430.08

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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.