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Finding the Fourth Proportional to 74.23, 102.18 and 65.14

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Solution

The fourth proportional to 74.23, 102.18 and 65.14 is: 89.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.23 : 102.18 = 65.14 : x
  2. Step 2: Convert to fraction form
    74.23/102.18 = 65.14/x
  3. Step 3: Cross multiply
    74.23x = 102.18 × 65.14
  4. Step 4: Simplify right side
    74.23x = 6,656.01
  5. Step 5: Solve for x
    x = 6,656.01/74.23
  6. Step 6: Final answer
    x = 89.67

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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.