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Finding the Fourth Proportional to 119.10, 177.90 and 102.03

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Solution

The fourth proportional to 119.10, 177.90 and 102.03 is: 152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.10 : 177.90 = 102.03 : x
  2. Step 2: Convert to fraction form
    119.10/177.90 = 102.03/x
  3. Step 3: Cross multiply
    119.10x = 177.90 × 102.03
  4. Step 4: Simplify right side
    119.10x = 18,151.14
  5. Step 5: Solve for x
    x = 18,151.14/119.10
  6. Step 6: Final answer
    x = 152.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.