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Finding the Fourth Proportional to 82.61, 114.01 and 53.51

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Solution

The fourth proportional to 82.61, 114.01 and 53.51 is: 73.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.61 : 114.01 = 53.51 : x
  2. Step 2: Convert to fraction form
    82.61/114.01 = 53.51/x
  3. Step 3: Cross multiply
    82.61x = 114.01 × 53.51
  4. Step 4: Simplify right side
    82.61x = 6,099.97
  5. Step 5: Solve for x
    x = 6,099.97/82.61
  6. Step 6: Final answer
    x = 73.85

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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.