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Finding the Fourth Proportional to 145.80, 201.96 and 124.20

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Solution

The fourth proportional to 145.80, 201.96 and 124.20 is: 172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.80 : 201.96 = 124.20 : x
  2. Step 2: Convert to fraction form
    145.80/201.96 = 124.20/x
  3. Step 3: Cross multiply
    145.80x = 201.96 × 124.20
  4. Step 4: Simplify right side
    145.80x = 25,083.43
  5. Step 5: Solve for x
    x = 25,083.43/145.80
  6. Step 6: Final answer
    x = 172.04

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