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Finding the Fourth Proportional to 89.83, 123.90 and 57.07

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Solution

The fourth proportional to 89.83, 123.90 and 57.07 is: 78.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.83 : 123.90 = 57.07 : x
  2. Step 2: Convert to fraction form
    89.83/123.90 = 57.07/x
  3. Step 3: Cross multiply
    89.83x = 123.90 × 57.07
  4. Step 4: Simplify right side
    89.83x = 7,070.97
  5. Step 5: Solve for x
    x = 7,070.97/89.83
  6. Step 6: Final answer
    x = 78.72

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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.