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Finding the Fourth Proportional to 111.57, 153.95 and 61.77

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Solution

The fourth proportional to 111.57, 153.95 and 61.77 is: 85.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.57 : 153.95 = 61.77 : x
  2. Step 2: Convert to fraction form
    111.57/153.95 = 61.77/x
  3. Step 3: Cross multiply
    111.57x = 153.95 × 61.77
  4. Step 4: Simplify right side
    111.57x = 9,510.28
  5. Step 5: Solve for x
    x = 9,510.28/111.57
  6. Step 6: Final answer
    x = 85.24

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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.