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Finding the Fourth Proportional to 117.43, 162.14 and 101.23

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Solution

The fourth proportional to 117.43, 162.14 and 101.23 is: 139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.43 : 162.14 = 101.23 : x
  2. Step 2: Convert to fraction form
    117.43/162.14 = 101.23/x
  3. Step 3: Cross multiply
    117.43x = 162.14 × 101.23
  4. Step 4: Simplify right side
    117.43x = 16,412.12
  5. Step 5: Solve for x
    x = 16,412.12/117.43
  6. Step 6: Final answer
    x = 139.77

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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.