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Finding the Fourth Proportional to 144,706.89, 199,695.51 and 80,180.31

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Solution

The fourth proportional to 144,706.89, 199,695.51 and 80,180.31 is: 110,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,706.89 : 199,695.51 = 80,180.31 : x
  2. Step 2: Convert to fraction form
    144,706.89/199,695.51 = 80,180.31/x
  3. Step 3: Cross multiply
    144,706.89x = 199,695.51 × 80,180.31
  4. Step 4: Simplify right side
    144,706.89x = 16,011,647,897.41
  5. Step 5: Solve for x
    x = 16,011,647,897.41/144,706.89
  6. Step 6: Final answer
    x = 110,648.83

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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.