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Finding the Fourth Proportional to 126.51, 188.84 and 117.47

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Solution

The fourth proportional to 126.51, 188.84 and 117.47 is: 175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.51 : 188.84 = 117.47 : x
  2. Step 2: Convert to fraction form
    126.51/188.84 = 117.47/x
  3. Step 3: Cross multiply
    126.51x = 188.84 × 117.47
  4. Step 4: Simplify right side
    126.51x = 22,182.92
  5. Step 5: Solve for x
    x = 22,182.92/126.51
  6. Step 6: Final answer
    x = 175.35

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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.