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Finding the Fourth Proportional to 144,176.40, 198,963.72 and 80,514

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Solution

The fourth proportional to 144,176.40, 198,963.72 and 80,514 is: 111,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,176.40 : 198,963.72 = 80,514 : x
  2. Step 2: Convert to fraction form
    144,176.40/198,963.72 = 80,514/x
  3. Step 3: Cross multiply
    144,176.40x = 198,963.72 × 80,514
  4. Step 4: Simplify right side
    144,176.40x = 16,019,364,952.08
  5. Step 5: Solve for x
    x = 16,019,364,952.08/144,176.40
  6. Step 6: Final answer
    x = 111,109.48

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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.