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Finding the Fourth Proportional to 82.04, 123.64 and 72.02

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Solution

The fourth proportional to 82.04, 123.64 and 72.02 is: 108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.04 : 123.64 = 72.02 : x
  2. Step 2: Convert to fraction form
    82.04/123.64 = 72.02/x
  3. Step 3: Cross multiply
    82.04x = 123.64 × 72.02
  4. Step 4: Simplify right side
    82.04x = 8,904.68
  5. Step 5: Solve for x
    x = 8,904.68/82.04
  6. Step 6: Final answer
    x = 108.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.