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Finding the Fourth Proportional to 130.08, 196.01 and 123.90

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Solution

The fourth proportional to 130.08, 196.01 and 123.90 is: 186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.08 : 196.01 = 123.90 : x
  2. Step 2: Convert to fraction form
    130.08/196.01 = 123.90/x
  3. Step 3: Cross multiply
    130.08x = 196.01 × 123.90
  4. Step 4: Simplify right side
    130.08x = 24,285.64
  5. Step 5: Solve for x
    x = 24,285.64/130.08
  6. Step 6: Final answer
    x = 186.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.