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Finding the Fourth Proportional to 89.31, 123.14 and 64.74

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Solution

The fourth proportional to 89.31, 123.14 and 64.74 is: 89.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.31 : 123.14 = 64.74 : x
  2. Step 2: Convert to fraction form
    89.31/123.14 = 64.74/x
  3. Step 3: Cross multiply
    89.31x = 123.14 × 64.74
  4. Step 4: Simplify right side
    89.31x = 7,971.45
  5. Step 5: Solve for x
    x = 7,971.45/89.31
  6. Step 6: Final answer
    x = 89.26

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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.