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Finding the Fourth Proportional to 88.53, 122.32 and 72.98

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Solution

The fourth proportional to 88.53, 122.32 and 72.98 is: 100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.53 : 122.32 = 72.98 : x
  2. Step 2: Convert to fraction form
    88.53/122.32 = 72.98/x
  3. Step 3: Cross multiply
    88.53x = 122.32 × 72.98
  4. Step 4: Simplify right side
    88.53x = 8,926.30
  5. Step 5: Solve for x
    x = 8,926.30/88.53
  6. Step 6: Final answer
    x = 100.83

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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.