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Finding the Fourth Proportional to 145.08, 199.23 and 124.35

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Solution

The fourth proportional to 145.08, 199.23 and 124.35 is: 170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.08 : 199.23 = 124.35 : x
  2. Step 2: Convert to fraction form
    145.08/199.23 = 124.35/x
  3. Step 3: Cross multiply
    145.08x = 199.23 × 124.35
  4. Step 4: Simplify right side
    145.08x = 24,774.25
  5. Step 5: Solve for x
    x = 24,774.25/145.08
  6. Step 6: Final answer
    x = 170.76

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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.