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Finding the Fourth Proportional to 156.61, 235.05 and 91.68

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Solution

The fourth proportional to 156.61, 235.05 and 91.68 is: 137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.61 : 235.05 = 91.68 : x
  2. Step 2: Convert to fraction form
    156.61/235.05 = 91.68/x
  3. Step 3: Cross multiply
    156.61x = 235.05 × 91.68
  4. Step 4: Simplify right side
    156.61x = 21,549.38
  5. Step 5: Solve for x
    x = 21,549.38/156.61
  6. Step 6: Final answer
    x = 137.60

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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.