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Finding the Fourth Proportional to 142,100.80, 213,151.20 and 119,291.20

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Solution

The fourth proportional to 142,100.80, 213,151.20 and 119,291.20 is: 178,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,100.80 : 213,151.20 = 119,291.20 : x
  2. Step 2: Convert to fraction form
    142,100.80/213,151.20 = 119,291.20/x
  3. Step 3: Cross multiply
    142,100.80x = 213,151.20 × 119,291.20
  4. Step 4: Simplify right side
    142,100.80x = 25,427,062,429.44
  5. Step 5: Solve for x
    x = 25,427,062,429.44/142,100.80
  6. Step 6: Final answer
    x = 178,936.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.