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Finding the Fourth Proportional to 89,203.69, 133,817.78 and 51,781.33

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Solution

The fourth proportional to 89,203.69, 133,817.78 and 51,781.33 is: 77,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,203.69 : 133,817.78 = 51,781.33 : x
  2. Step 2: Convert to fraction form
    89,203.69/133,817.78 = 51,781.33/x
  3. Step 3: Cross multiply
    89,203.69x = 133,817.78 × 51,781.33
  4. Step 4: Simplify right side
    89,203.69x = 6,929,262,367.14
  5. Step 5: Solve for x
    x = 6,929,262,367.14/89,203.69
  6. Step 6: Final answer
    x = 77,679.10

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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.