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Finding the Fourth Proportional to 156.61, 216 and 123.81

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Solution

The fourth proportional to 156.61, 216 and 123.81 is: 170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.61 : 216 = 123.81 : x
  2. Step 2: Convert to fraction form
    156.61/216 = 123.81/x
  3. Step 3: Cross multiply
    156.61x = 216 × 123.81
  4. Step 4: Simplify right side
    156.61x = 26,742.96
  5. Step 5: Solve for x
    x = 26,742.96/156.61
  6. Step 6: Final answer
    x = 170.76

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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.