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Finding the Fourth Proportional to 85,424.40, 127,942.20 and 43,822.80

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Solution

The fourth proportional to 85,424.40, 127,942.20 and 43,822.80 is: 65,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,424.40 : 127,942.20 = 43,822.80 : x
  2. Step 2: Convert to fraction form
    85,424.40/127,942.20 = 43,822.80/x
  3. Step 3: Cross multiply
    85,424.40x = 127,942.20 × 43,822.80
  4. Step 4: Simplify right side
    85,424.40x = 5,606,785,442.16
  5. Step 5: Solve for x
    x = 5,606,785,442.16/85,424.40
  6. Step 6: Final answer
    x = 65,634.47

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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.