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Finding the Fourth Proportional to 156.69, 235.04 and 83.54

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Solution

The fourth proportional to 156.69, 235.04 and 83.54 is: 125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.69 : 235.04 = 83.54 : x
  2. Step 2: Convert to fraction form
    156.69/235.04 = 83.54/x
  3. Step 3: Cross multiply
    156.69x = 235.04 × 83.54
  4. Step 4: Simplify right side
    156.69x = 19,635.24
  5. Step 5: Solve for x
    x = 19,635.24/156.69
  6. Step 6: Final answer
    x = 125.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.