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Finding the Fourth Proportional to 143,672.59, 198,268.41 and 83,254.87

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Solution

The fourth proportional to 143,672.59, 198,268.41 and 83,254.87 is: 114,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,672.59 : 198,268.41 = 83,254.87 : x
  2. Step 2: Convert to fraction form
    143,672.59/198,268.41 = 83,254.87/x
  3. Step 3: Cross multiply
    143,672.59x = 198,268.41 × 83,254.87
  4. Step 4: Simplify right side
    143,672.59x = 16,506,810,699.66
  5. Step 5: Solve for x
    x = 16,506,810,699.66/143,672.59
  6. Step 6: Final answer
    x = 114,891.86

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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.