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Finding the Fourth Proportional to 102.15, 140.76 and 89.01

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Solution

The fourth proportional to 102.15, 140.76 and 89.01 is: 122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.15 : 140.76 = 89.01 : x
  2. Step 2: Convert to fraction form
    102.15/140.76 = 89.01/x
  3. Step 3: Cross multiply
    102.15x = 140.76 × 89.01
  4. Step 4: Simplify right side
    102.15x = 12,529.05
  5. Step 5: Solve for x
    x = 12,529.05/102.15
  6. Step 6: Final answer
    x = 122.65

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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.