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Finding the Fourth Proportional to 85,780, 128,739.12 and 44,238.88

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Solution

The fourth proportional to 85,780, 128,739.12 and 44,238.88 is: 66,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,780 : 128,739.12 = 44,238.88 : x
  2. Step 2: Convert to fraction form
    85,780/128,739.12 = 44,238.88/x
  3. Step 3: Cross multiply
    85,780x = 128,739.12 × 44,238.88
  4. Step 4: Simplify right side
    85,780x = 5,695,274,480.99
  5. Step 5: Solve for x
    x = 5,695,274,480.99/85,780
  6. Step 6: Final answer
    x = 66,393.97

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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.