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Finding the Fourth Proportional to 144,079.76, 198,821.98 and 80,421.66

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Solution

The fourth proportional to 144,079.76, 198,821.98 and 80,421.66 is: 110,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,079.76 : 198,821.98 = 80,421.66 : x
  2. Step 2: Convert to fraction form
    144,079.76/198,821.98 = 80,421.66/x
  3. Step 3: Cross multiply
    144,079.76x = 198,821.98 × 80,421.66
  4. Step 4: Simplify right side
    144,079.76x = 15,989,593,676.09
  5. Step 5: Solve for x
    x = 15,989,593,676.09/144,079.76
  6. Step 6: Final answer
    x = 110,977.38

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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.