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Finding the Fourth Proportional to 98.54, 136 and 61.69

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Solution

The fourth proportional to 98.54, 136 and 61.69 is: 85.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.54 : 136 = 61.69 : x
  2. Step 2: Convert to fraction form
    98.54/136 = 61.69/x
  3. Step 3: Cross multiply
    98.54x = 136 × 61.69
  4. Step 4: Simplify right side
    98.54x = 8,389.84
  5. Step 5: Solve for x
    x = 8,389.84/98.54
  6. Step 6: Final answer
    x = 85.14

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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.