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Finding the Fourth Proportional to 77.84, 117.16 and 58.69

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Solution

The fourth proportional to 77.84, 117.16 and 58.69 is: 88.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 117.16 = 58.69 : x
  2. Step 2: Convert to fraction form
    77.84/117.16 = 58.69/x
  3. Step 3: Cross multiply
    77.84x = 117.16 × 58.69
  4. Step 4: Simplify right side
    77.84x = 6,876.45
  5. Step 5: Solve for x
    x = 6,876.45/77.84
  6. Step 6: Final answer
    x = 88.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.