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Finding the Fourth Proportional to 104,378.38, 156,751.71 and 77,731.61

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Solution

The fourth proportional to 104,378.38, 156,751.71 and 77,731.61 is: 116,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,378.38 : 156,751.71 = 77,731.61 : x
  2. Step 2: Convert to fraction form
    104,378.38/156,751.71 = 77,731.61/x
  3. Step 3: Cross multiply
    104,378.38x = 156,751.71 × 77,731.61
  4. Step 4: Simplify right side
    104,378.38x = 12,184,561,713.30
  5. Step 5: Solve for x
    x = 12,184,561,713.30/104,378.38
  6. Step 6: Final answer
    x = 116,734.54

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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.