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Finding the Fourth Proportional to 77,581.46, 116,369.87 and 21,424.97

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Solution

The fourth proportional to 77,581.46, 116,369.87 and 21,424.97 is: 32,136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,581.46 : 116,369.87 = 21,424.97 : x
  2. Step 2: Convert to fraction form
    77,581.46/116,369.87 = 21,424.97/x
  3. Step 3: Cross multiply
    77,581.46x = 116,369.87 × 21,424.97
  4. Step 4: Simplify right side
    77,581.46x = 2,493,221,157.45
  5. Step 5: Solve for x
    x = 2,493,221,157.45/77,581.46
  6. Step 6: Final answer
    x = 32,136.82

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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.