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Finding the Fourth Proportional to 130.61, 181.04 and 123.02

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Solution

The fourth proportional to 130.61, 181.04 and 123.02 is: 170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.61 : 181.04 = 123.02 : x
  2. Step 2: Convert to fraction form
    130.61/181.04 = 123.02/x
  3. Step 3: Cross multiply
    130.61x = 181.04 × 123.02
  4. Step 4: Simplify right side
    130.61x = 22,270.70
  5. Step 5: Solve for x
    x = 22,270.70/130.61
  6. Step 6: Final answer
    x = 170.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.