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Finding the Fourth Proportional to 144,472.14, 199,377 and 80,809.74

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Solution

The fourth proportional to 144,472.14, 199,377 and 80,809.74 is: 111,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,472.14 : 199,377 = 80,809.74 : x
  2. Step 2: Convert to fraction form
    144,472.14/199,377 = 80,809.74/x
  3. Step 3: Cross multiply
    144,472.14x = 199,377 × 80,809.74
  4. Step 4: Simplify right side
    144,472.14x = 16,111,603,531.98
  5. Step 5: Solve for x
    x = 16,111,603,531.98/144,472.14
  6. Step 6: Final answer
    x = 111,520.49

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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.