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Finding the Fourth Proportional to 117.77, 175.70 and 106.25

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Solution

The fourth proportional to 117.77, 175.70 and 106.25 is: 158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.77 : 175.70 = 106.25 : x
  2. Step 2: Convert to fraction form
    117.77/175.70 = 106.25/x
  3. Step 3: Cross multiply
    117.77x = 175.70 × 106.25
  4. Step 4: Simplify right side
    117.77x = 18,667.51
  5. Step 5: Solve for x
    x = 18,667.51/117.77
  6. Step 6: Final answer
    x = 158.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.