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Finding the Fourth Proportional to 82.95, 124.40 and 48.73

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Solution

The fourth proportional to 82.95, 124.40 and 48.73 is: 73.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.95 : 124.40 = 48.73 : x
  2. Step 2: Convert to fraction form
    82.95/124.40 = 48.73/x
  3. Step 3: Cross multiply
    82.95x = 124.40 × 48.73
  4. Step 4: Simplify right side
    82.95x = 6,062.01
  5. Step 5: Solve for x
    x = 6,062.01/82.95
  6. Step 6: Final answer
    x = 73.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.