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Finding the Fourth Proportional to 85,309.86, 127,983.51 and 26,149.98

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Solution

The fourth proportional to 85,309.86, 127,983.51 and 26,149.98 is: 39,230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,309.86 : 127,983.51 = 26,149.98 : x
  2. Step 2: Convert to fraction form
    85,309.86/127,983.51 = 26,149.98/x
  3. Step 3: Cross multiply
    85,309.86x = 127,983.51 × 26,149.98
  4. Step 4: Simplify right side
    85,309.86x = 3,346,766,226.83
  5. Step 5: Solve for x
    x = 3,346,766,226.83/85,309.86
  6. Step 6: Final answer
    x = 39,230.71

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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.