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Finding the Fourth Proportional to 143,809.83, 198,441.09 and 83,367.83

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Solution

The fourth proportional to 143,809.83, 198,441.09 and 83,367.83 is: 115,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,809.83 : 198,441.09 = 83,367.83 : x
  2. Step 2: Convert to fraction form
    143,809.83/198,441.09 = 83,367.83/x
  3. Step 3: Cross multiply
    143,809.83x = 198,441.09 × 83,367.83
  4. Step 4: Simplify right side
    143,809.83x = 16,543,603,552.24
  5. Step 5: Solve for x
    x = 16,543,603,552.24/143,809.83
  6. Step 6: Final answer
    x = 115,038.06

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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.