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Finding the Fourth Proportional to 88.73, 122.50 and 53.78

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Solution

The fourth proportional to 88.73, 122.50 and 53.78 is: 74.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.73 : 122.50 = 53.78 : x
  2. Step 2: Convert to fraction form
    88.73/122.50 = 53.78/x
  3. Step 3: Cross multiply
    88.73x = 122.50 × 53.78
  4. Step 4: Simplify right side
    88.73x = 6,587.60
  5. Step 5: Solve for x
    x = 6,587.60/88.73
  6. Step 6: Final answer
    x = 74.24

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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.