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Finding the Fourth Proportional to 124.84, 186.78 and 90.68

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Solution

The fourth proportional to 124.84, 186.78 and 90.68 is: 135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.84 : 186.78 = 90.68 : x
  2. Step 2: Convert to fraction form
    124.84/186.78 = 90.68/x
  3. Step 3: Cross multiply
    124.84x = 186.78 × 90.68
  4. Step 4: Simplify right side
    124.84x = 16,937.21
  5. Step 5: Solve for x
    x = 16,937.21/124.84
  6. Step 6: Final answer
    x = 135.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.