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Finding the Fourth Proportional to 124.02, 171.06 and 85.14

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Solution

The fourth proportional to 124.02, 171.06 and 85.14 is: 117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.02 : 171.06 = 85.14 : x
  2. Step 2: Convert to fraction form
    124.02/171.06 = 85.14/x
  3. Step 3: Cross multiply
    124.02x = 171.06 × 85.14
  4. Step 4: Simplify right side
    124.02x = 14,564.05
  5. Step 5: Solve for x
    x = 14,564.05/124.02
  6. Step 6: Final answer
    x = 117.43

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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.