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Finding the Fourth Proportional to 102.02, 139.77 and 100.67

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Solution

The fourth proportional to 102.02, 139.77 and 100.67 is: 137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.02 : 139.77 = 100.67 : x
  2. Step 2: Convert to fraction form
    102.02/139.77 = 100.67/x
  3. Step 3: Cross multiply
    102.02x = 139.77 × 100.67
  4. Step 4: Simplify right side
    102.02x = 14,069.95
  5. Step 5: Solve for x
    x = 14,069.95/102.02
  6. Step 6: Final answer
    x = 137.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.