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Finding the Fourth Proportional to 73.92, 102.09 and 64.08

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Solution

The fourth proportional to 73.92, 102.09 and 64.08 is: 88.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.92 : 102.09 = 64.08 : x
  2. Step 2: Convert to fraction form
    73.92/102.09 = 64.08/x
  3. Step 3: Cross multiply
    73.92x = 102.09 × 64.08
  4. Step 4: Simplify right side
    73.92x = 6,541.93
  5. Step 5: Solve for x
    x = 6,541.93/73.92
  6. Step 6: Final answer
    x = 88.50

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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.