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Finding the Fourth Proportional to 88.74, 122.46 and 56.04

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Solution

The fourth proportional to 88.74, 122.46 and 56.04 is: 77.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.74 : 122.46 = 56.04 : x
  2. Step 2: Convert to fraction form
    88.74/122.46 = 56.04/x
  3. Step 3: Cross multiply
    88.74x = 122.46 × 56.04
  4. Step 4: Simplify right side
    88.74x = 6,862.66
  5. Step 5: Solve for x
    x = 6,862.66/88.74
  6. Step 6: Final answer
    x = 77.33

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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.