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Finding the Fourth Proportional to 89,720.78, 123,803.88 and 51,478.22

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Solution

The fourth proportional to 89,720.78, 123,803.88 and 51,478.22 is: 71,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,720.78 : 123,803.88 = 51,478.22 : x
  2. Step 2: Convert to fraction form
    89,720.78/123,803.88 = 51,478.22/x
  3. Step 3: Cross multiply
    89,720.78x = 123,803.88 × 51,478.22
  4. Step 4: Simplify right side
    89,720.78x = 6,373,203,371.49
  5. Step 5: Solve for x
    x = 6,373,203,371.49/89,720.78
  6. Step 6: Final answer
    x = 71,033.75

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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.