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Finding the Fourth Proportional to 119, 178.54 and 46.86

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Solution

The fourth proportional to 119, 178.54 and 46.86 is: 70.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119 : 178.54 = 46.86 : x
  2. Step 2: Convert to fraction form
    119/178.54 = 46.86/x
  3. Step 3: Cross multiply
    119x = 178.54 × 46.86
  4. Step 4: Simplify right side
    119x = 8,366.38
  5. Step 5: Solve for x
    x = 8,366.38/119
  6. Step 6: Final answer
    x = 70.31

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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.