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Finding the Fourth Proportional to 117.77, 162.47 and 76.30

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Solution

The fourth proportional to 117.77, 162.47 and 76.30 is: 105.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.77 : 162.47 = 76.30 : x
  2. Step 2: Convert to fraction form
    117.77/162.47 = 76.30/x
  3. Step 3: Cross multiply
    117.77x = 162.47 × 76.30
  4. Step 4: Simplify right side
    117.77x = 12,396.46
  5. Step 5: Solve for x
    x = 12,396.46/117.77
  6. Step 6: Final answer
    x = 105.26

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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.