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Finding the Fourth Proportional to 143,775.97, 198,410.85 and 83,381.65

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Solution

The fourth proportional to 143,775.97, 198,410.85 and 83,381.65 is: 115,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,775.97 : 198,410.85 = 83,381.65 : x
  2. Step 2: Convert to fraction form
    143,775.97/198,410.85 = 83,381.65/x
  3. Step 3: Cross multiply
    143,775.97x = 198,410.85 × 83,381.65
  4. Step 4: Simplify right side
    143,775.97x = 16,543,824,050.90
  5. Step 5: Solve for x
    x = 16,543,824,050.90/143,775.97
  6. Step 6: Final answer
    x = 115,066.68

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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.