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Finding the Fourth Proportional to 88.78, 122.63 and 70.60

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Solution

The fourth proportional to 88.78, 122.63 and 70.60 is: 97.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.78 : 122.63 = 70.60 : x
  2. Step 2: Convert to fraction form
    88.78/122.63 = 70.60/x
  3. Step 3: Cross multiply
    88.78x = 122.63 × 70.60
  4. Step 4: Simplify right side
    88.78x = 8,657.68
  5. Step 5: Solve for x
    x = 8,657.68/88.78
  6. Step 6: Final answer
    x = 97.52

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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.