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Finding the Fourth Proportional to 143,689.76, 198,291.74 and 83,295.44

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Solution

The fourth proportional to 143,689.76, 198,291.74 and 83,295.44 is: 114,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,689.76 : 198,291.74 = 83,295.44 : x
  2. Step 2: Convert to fraction form
    143,689.76/198,291.74 = 83,295.44/x
  3. Step 3: Cross multiply
    143,689.76x = 198,291.74 × 83,295.44
  4. Step 4: Simplify right side
    143,689.76x = 16,516,797,731.67
  5. Step 5: Solve for x
    x = 16,516,797,731.67/143,689.76
  6. Step 6: Final answer
    x = 114,947.63

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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.