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Finding the Fourth Proportional to 130.61, 194.86 and 117.56

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Solution

The fourth proportional to 130.61, 194.86 and 117.56 is: 175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.61 : 194.86 = 117.56 : x
  2. Step 2: Convert to fraction form
    130.61/194.86 = 117.56/x
  3. Step 3: Cross multiply
    130.61x = 194.86 × 117.56
  4. Step 4: Simplify right side
    130.61x = 22,907.74
  5. Step 5: Solve for x
    x = 22,907.74/130.61
  6. Step 6: Final answer
    x = 175.39

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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.