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Finding the Fourth Proportional to 200,932.40, 301,744.20 and 142,180.40

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Solution

The fourth proportional to 200,932.40, 301,744.20 and 142,180.40 is: 213,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,932.40 : 301,744.20 = 142,180.40 : x
  2. Step 2: Convert to fraction form
    200,932.40/301,744.20 = 142,180.40/x
  3. Step 3: Cross multiply
    200,932.40x = 301,744.20 × 142,180.40
  4. Step 4: Simplify right side
    200,932.40x = 42,902,111,053.68
  5. Step 5: Solve for x
    x = 42,902,111,053.68/200,932.40
  6. Step 6: Final answer
    x = 213,515.15

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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.