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Finding the Fourth Proportional to 117.50, 162.07 and 78.16

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Solution

The fourth proportional to 117.50, 162.07 and 78.16 is: 107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.50 : 162.07 = 78.16 : x
  2. Step 2: Convert to fraction form
    117.50/162.07 = 78.16/x
  3. Step 3: Cross multiply
    117.50x = 162.07 × 78.16
  4. Step 4: Simplify right side
    117.50x = 12,667.39
  5. Step 5: Solve for x
    x = 12,667.39/117.50
  6. Step 6: Final answer
    x = 107.81

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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.