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Finding the Fourth Proportional to 85,721.64, 128,061.12 and 55,489.56

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Solution

The fourth proportional to 85,721.64, 128,061.12 and 55,489.56 is: 82,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,721.64 : 128,061.12 = 55,489.56 : x
  2. Step 2: Convert to fraction form
    85,721.64/128,061.12 = 55,489.56/x
  3. Step 3: Cross multiply
    85,721.64x = 128,061.12 × 55,489.56
  4. Step 4: Simplify right side
    85,721.64x = 7,106,055,201.91
  5. Step 5: Solve for x
    x = 7,106,055,201.91/85,721.64
  6. Step 6: Final answer
    x = 82,896.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.