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Finding the Fourth Proportional to 77,424.56, 116,136.62 and 21,264.73

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Solution

The fourth proportional to 77,424.56, 116,136.62 and 21,264.73 is: 31,897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,424.56 : 116,136.62 = 21,264.73 : x
  2. Step 2: Convert to fraction form
    77,424.56/116,136.62 = 21,264.73/x
  3. Step 3: Cross multiply
    77,424.56x = 116,136.62 × 21,264.73
  4. Step 4: Simplify right side
    77,424.56x = 2,469,613,867.41
  5. Step 5: Solve for x
    x = 2,469,613,867.41/77,424.56
  6. Step 6: Final answer
    x = 31,897.03

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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.