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Finding the Fourth Proportional to 169,085.84, 253,630.92 and 80,348

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Solution

The fourth proportional to 169,085.84, 253,630.92 and 80,348 is: 120,523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,085.84 : 253,630.92 = 80,348 : x
  2. Step 2: Convert to fraction form
    169,085.84/253,630.92 = 80,348/x
  3. Step 3: Cross multiply
    169,085.84x = 253,630.92 × 80,348
  4. Step 4: Simplify right side
    169,085.84x = 20,378,737,160.16
  5. Step 5: Solve for x
    x = 20,378,737,160.16/169,085.84
  6. Step 6: Final answer
    x = 120,523.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.