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Finding the Fourth Proportional to 85,488.78, 128,236.77 and 23,159.22

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Solution

The fourth proportional to 85,488.78, 128,236.77 and 23,159.22 is: 34,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,488.78 : 128,236.77 = 23,159.22 : x
  2. Step 2: Convert to fraction form
    85,488.78/128,236.77 = 23,159.22/x
  3. Step 3: Cross multiply
    85,488.78x = 128,236.77 × 23,159.22
  4. Step 4: Simplify right side
    85,488.78x = 2,969,863,568.52
  5. Step 5: Solve for x
    x = 2,969,863,568.52/85,488.78
  6. Step 6: Final answer
    x = 34,739.81

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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.