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Finding the Fourth Proportional to 144,111, 198,872.46 and 80,445

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Solution

The fourth proportional to 144,111, 198,872.46 and 80,445 is: 111,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,111 : 198,872.46 = 80,445 : x
  2. Step 2: Convert to fraction form
    144,111/198,872.46 = 80,445/x
  3. Step 3: Cross multiply
    144,111x = 198,872.46 × 80,445
  4. Step 4: Simplify right side
    144,111x = 15,998,295,044.70
  5. Step 5: Solve for x
    x = 15,998,295,044.70/144,111
  6. Step 6: Final answer
    x = 111,013.70

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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.