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Finding the Fourth Proportional to 143,614.56, 198,188 and 83,188.56

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Solution

The fourth proportional to 143,614.56, 198,188 and 83,188.56 is: 114,800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,614.56 : 198,188 = 83,188.56 : x
  2. Step 2: Convert to fraction form
    143,614.56/198,188 = 83,188.56/x
  3. Step 3: Cross multiply
    143,614.56x = 198,188 × 83,188.56
  4. Step 4: Simplify right side
    143,614.56x = 16,486,974,329.28
  5. Step 5: Solve for x
    x = 16,486,974,329.28/143,614.56
  6. Step 6: Final answer
    x = 114,800.16

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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.