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Finding the Fourth Proportional to 117.88, 162.54 and 106.26

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Solution

The fourth proportional to 117.88, 162.54 and 106.26 is: 146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.88 : 162.54 = 106.26 : x
  2. Step 2: Convert to fraction form
    117.88/162.54 = 106.26/x
  3. Step 3: Cross multiply
    117.88x = 162.54 × 106.26
  4. Step 4: Simplify right side
    117.88x = 17,271.50
  5. Step 5: Solve for x
    x = 17,271.50/117.88
  6. Step 6: Final answer
    x = 146.52

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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.