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Finding the Fourth Proportional to 144,147.84, 198,922.16 and 80,486.72

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Solution

The fourth proportional to 144,147.84, 198,922.16 and 80,486.72 is: 111,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,147.84 : 198,922.16 = 80,486.72 : x
  2. Step 2: Convert to fraction form
    144,147.84/198,922.16 = 80,486.72/x
  3. Step 3: Cross multiply
    144,147.84x = 198,922.16 × 80,486.72
  4. Step 4: Simplify right side
    144,147.84x = 16,010,592,193.72
  5. Step 5: Solve for x
    x = 16,010,592,193.72/144,147.84
  6. Step 6: Final answer
    x = 111,070.64

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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.