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Finding the Fourth Proportional to 200,866.88, 301,399.20 and 142,080.32

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Solution

The fourth proportional to 200,866.88, 301,399.20 and 142,080.32 is: 213,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,866.88 : 301,399.20 = 142,080.32 : x
  2. Step 2: Convert to fraction form
    200,866.88/301,399.20 = 142,080.32/x
  3. Step 3: Cross multiply
    200,866.88x = 301,399.20 × 142,080.32
  4. Step 4: Simplify right side
    200,866.88x = 42,822,894,783.74
  5. Step 5: Solve for x
    x = 42,822,894,783.74/200,866.88
  6. Step 6: Final answer
    x = 213,190.42

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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.