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Finding the Fourth Proportional to 111.26, 153.48 and 64.61

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Solution

The fourth proportional to 111.26, 153.48 and 64.61 is: 89.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.26 : 153.48 = 64.61 : x
  2. Step 2: Convert to fraction form
    111.26/153.48 = 64.61/x
  3. Step 3: Cross multiply
    111.26x = 153.48 × 64.61
  4. Step 4: Simplify right side
    111.26x = 9,916.73
  5. Step 5: Solve for x
    x = 9,916.73/111.26
  6. Step 6: Final answer
    x = 89.13

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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.