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Finding the Fourth Proportional to 113.08, 156.06 and 65.83

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Solution

The fourth proportional to 113.08, 156.06 and 65.83 is: 90.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.08 : 156.06 = 65.83 : x
  2. Step 2: Convert to fraction form
    113.08/156.06 = 65.83/x
  3. Step 3: Cross multiply
    113.08x = 156.06 × 65.83
  4. Step 4: Simplify right side
    113.08x = 10,273.43
  5. Step 5: Solve for x
    x = 10,273.43/113.08
  6. Step 6: Final answer
    x = 90.85

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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.