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Finding the Fourth Proportional to 83,583.63, 125,229.78 and 69,633.29

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Solution

The fourth proportional to 83,583.63, 125,229.78 and 69,633.29 is: 104,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,583.63 : 125,229.78 = 69,633.29 : x
  2. Step 2: Convert to fraction form
    83,583.63/125,229.78 = 69,633.29/x
  3. Step 3: Cross multiply
    83,583.63x = 125,229.78 × 69,633.29
  4. Step 4: Simplify right side
    83,583.63x = 8,720,161,900.45
  5. Step 5: Solve for x
    x = 8,720,161,900.45/83,583.63
  6. Step 6: Final answer
    x = 104,328.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.