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Finding the Fourth Proportional to 68.47, 102.10 and 61.09

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Solution

The fourth proportional to 68.47, 102.10 and 61.09 is: 91.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.47 : 102.10 = 61.09 : x
  2. Step 2: Convert to fraction form
    68.47/102.10 = 61.09/x
  3. Step 3: Cross multiply
    68.47x = 102.10 × 61.09
  4. Step 4: Simplify right side
    68.47x = 6,237.29
  5. Step 5: Solve for x
    x = 6,237.29/68.47
  6. Step 6: Final answer
    x = 91.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.