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Finding the Fourth Proportional to 144,955.96, 200,019.90 and 80,424.16

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Solution

The fourth proportional to 144,955.96, 200,019.90 and 80,424.16 is: 110,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,955.96 : 200,019.90 = 80,424.16 : x
  2. Step 2: Convert to fraction form
    144,955.96/200,019.90 = 80,424.16/x
  3. Step 3: Cross multiply
    144,955.96x = 200,019.90 × 80,424.16
  4. Step 4: Simplify right side
    144,955.96x = 16,086,432,440.78
  5. Step 5: Solve for x
    x = 16,086,432,440.78/144,955.96
  6. Step 6: Final answer
    x = 110,974.62

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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.