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Finding the Fourth Proportional to 144,993.78, 200,091 and 80,472.76

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Solution

The fourth proportional to 144,993.78, 200,091 and 80,472.76 is: 111,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,993.78 : 200,091 = 80,472.76 : x
  2. Step 2: Convert to fraction form
    144,993.78/200,091 = 80,472.76/x
  3. Step 3: Cross multiply
    144,993.78x = 200,091 × 80,472.76
  4. Step 4: Simplify right side
    144,993.78x = 16,101,875,021.16
  5. Step 5: Solve for x
    x = 16,101,875,021.16/144,993.78
  6. Step 6: Final answer
    x = 111,052.18

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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.