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Finding the Fourth Proportional to 89.78, 123.91 and 50.98

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Solution

The fourth proportional to 89.78, 123.91 and 50.98 is: 70.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.78 : 123.91 = 50.98 : x
  2. Step 2: Convert to fraction form
    89.78/123.91 = 50.98/x
  3. Step 3: Cross multiply
    89.78x = 123.91 × 50.98
  4. Step 4: Simplify right side
    89.78x = 6,316.93
  5. Step 5: Solve for x
    x = 6,316.93/89.78
  6. Step 6: Final answer
    x = 70.36

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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.