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Finding the Fourth Proportional to 130.03, 178.45 and 117.72

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Solution

The fourth proportional to 130.03, 178.45 and 117.72 is: 161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.03 : 178.45 = 117.72 : x
  2. Step 2: Convert to fraction form
    130.03/178.45 = 117.72/x
  3. Step 3: Cross multiply
    130.03x = 178.45 × 117.72
  4. Step 4: Simplify right side
    130.03x = 21,006.84
  5. Step 5: Solve for x
    x = 21,006.84/130.03
  6. Step 6: Final answer
    x = 161.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.