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Finding the Fourth Proportional to 188,830.88, 282,982 and 142,028.96

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Solution

The fourth proportional to 188,830.88, 282,982 and 142,028.96 is: 212,844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,830.88 : 282,982 = 142,028.96 : x
  2. Step 2: Convert to fraction form
    188,830.88/282,982 = 142,028.96/x
  3. Step 3: Cross multiply
    188,830.88x = 282,982 × 142,028.96
  4. Step 4: Simplify right side
    188,830.88x = 40,191,639,158.72
  5. Step 5: Solve for x
    x = 40,191,639,158.72/188,830.88
  6. Step 6: Final answer
    x = 212,844.63

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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.