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Finding the Fourth Proportional to 215,761.64, 323,751.77 and 143,763.76

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Solution

The fourth proportional to 215,761.64, 323,751.77 and 143,763.76 is: 215,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,761.64 : 323,751.77 = 143,763.76 : x
  2. Step 2: Convert to fraction form
    215,761.64/323,751.77 = 143,763.76/x
  3. Step 3: Cross multiply
    215,761.64x = 323,751.77 × 143,763.76
  4. Step 4: Simplify right side
    215,761.64x = 46,543,770,143.10
  5. Step 5: Solve for x
    x = 46,543,770,143.10/215,761.64
  6. Step 6: Final answer
    x = 215,718.47

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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.