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Finding the Fourth Proportional to 73.84, 102 and 64.12

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Solution

The fourth proportional to 73.84, 102 and 64.12 is: 88.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.84 : 102 = 64.12 : x
  2. Step 2: Convert to fraction form
    73.84/102 = 64.12/x
  3. Step 3: Cross multiply
    73.84x = 102 × 64.12
  4. Step 4: Simplify right side
    73.84x = 6,540.24
  5. Step 5: Solve for x
    x = 6,540.24/73.84
  6. Step 6: Final answer
    x = 88.57

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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.