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Finding the Fourth Proportional to 117.51, 162.14 and 76.05

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Solution

The fourth proportional to 117.51, 162.14 and 76.05 is: 104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.51 : 162.14 = 76.05 : x
  2. Step 2: Convert to fraction form
    117.51/162.14 = 76.05/x
  3. Step 3: Cross multiply
    117.51x = 162.14 × 76.05
  4. Step 4: Simplify right side
    117.51x = 12,330.37
  5. Step 5: Solve for x
    x = 12,330.37/117.51
  6. Step 6: Final answer
    x = 104.93

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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.