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Finding the Fourth Proportional to 156.32, 215.84 and 123.68

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Solution

The fourth proportional to 156.32, 215.84 and 123.68 is: 170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.32 : 215.84 = 123.68 : x
  2. Step 2: Convert to fraction form
    156.32/215.84 = 123.68/x
  3. Step 3: Cross multiply
    156.32x = 215.84 × 123.68
  4. Step 4: Simplify right side
    156.32x = 26,695.09
  5. Step 5: Solve for x
    x = 26,695.09/156.32
  6. Step 6: Final answer
    x = 170.77

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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.