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Finding the Fourth Proportional to 73,686.53, 110,529.47 and 21,096

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Solution

The fourth proportional to 73,686.53, 110,529.47 and 21,096 is: 31,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,686.53 : 110,529.47 = 21,096 : x
  2. Step 2: Convert to fraction form
    73,686.53/110,529.47 = 21,096/x
  3. Step 3: Cross multiply
    73,686.53x = 110,529.47 × 21,096
  4. Step 4: Simplify right side
    73,686.53x = 2,331,729,593.64
  5. Step 5: Solve for x
    x = 2,331,729,593.64/73,686.53
  6. Step 6: Final answer
    x = 31,643.91

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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.