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Finding the Fourth Proportional to 188,380.40, 283,031.40 and 141,724.40

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Solution

The fourth proportional to 188,380.40, 283,031.40 and 141,724.40 is: 212,933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,380.40 : 283,031.40 = 141,724.40 : x
  2. Step 2: Convert to fraction form
    188,380.40/283,031.40 = 141,724.40/x
  3. Step 3: Cross multiply
    188,380.40x = 283,031.40 × 141,724.40
  4. Step 4: Simplify right side
    188,380.40x = 40,112,455,346.16
  5. Step 5: Solve for x
    x = 40,112,455,346.16/188,380.40
  6. Step 6: Final answer
    x = 212,933.27

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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.