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Finding the Fourth Proportional to 89.17, 123.05 and 64.63

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Solution

The fourth proportional to 89.17, 123.05 and 64.63 is: 89.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.17 : 123.05 = 64.63 : x
  2. Step 2: Convert to fraction form
    89.17/123.05 = 64.63/x
  3. Step 3: Cross multiply
    89.17x = 123.05 × 64.63
  4. Step 4: Simplify right side
    89.17x = 7,952.72
  5. Step 5: Solve for x
    x = 7,952.72/89.17
  6. Step 6: Final answer
    x = 89.19

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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.