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Finding the Fourth Proportional to 89,830.49, 123,961.49 and 51,563.45

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Solution

The fourth proportional to 89,830.49, 123,961.49 and 51,563.45 is: 71,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,830.49 : 123,961.49 = 51,563.45 : x
  2. Step 2: Convert to fraction form
    89,830.49/123,961.49 = 51,563.45/x
  3. Step 3: Cross multiply
    89,830.49x = 123,961.49 × 51,563.45
  4. Step 4: Simplify right side
    89,830.49x = 6,391,882,336.99
  5. Step 5: Solve for x
    x = 6,391,882,336.99/89,830.49
  6. Step 6: Final answer
    x = 71,154.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.