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Finding the Fourth Proportional to 130.61, 194.77 and 123.42

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Solution

The fourth proportional to 130.61, 194.77 and 123.42 is: 184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.61 : 194.77 = 123.42 : x
  2. Step 2: Convert to fraction form
    130.61/194.77 = 123.42/x
  3. Step 3: Cross multiply
    130.61x = 194.77 × 123.42
  4. Step 4: Simplify right side
    130.61x = 24,038.20
  5. Step 5: Solve for x
    x = 24,038.20/130.61
  6. Step 6: Final answer
    x = 184.05

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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.