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Finding the Fourth Proportional to 103.93, 156.50 and 85.83

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Solution

The fourth proportional to 103.93, 156.50 and 85.83 is: 129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.93 : 156.50 = 85.83 : x
  2. Step 2: Convert to fraction form
    103.93/156.50 = 85.83/x
  3. Step 3: Cross multiply
    103.93x = 156.50 × 85.83
  4. Step 4: Simplify right side
    103.93x = 13,431.70
  5. Step 5: Solve for x
    x = 13,431.70/103.93
  6. Step 6: Final answer
    x = 129.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.