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Finding the Fourth Proportional to 144,000.52, 198,721.29 and 80,341

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Solution

The fourth proportional to 144,000.52, 198,721.29 and 80,341 is: 110,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,000.52 : 198,721.29 = 80,341 : x
  2. Step 2: Convert to fraction form
    144,000.52/198,721.29 = 80,341/x
  3. Step 3: Cross multiply
    144,000.52x = 198,721.29 × 80,341
  4. Step 4: Simplify right side
    144,000.52x = 15,965,467,159.89
  5. Step 5: Solve for x
    x = 15,965,467,159.89/144,000.52
  6. Step 6: Final answer
    x = 110,870.90

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1.5x scale

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.