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Finding the Fourth Proportional to 188,398.32, 282,265.38 and 99,455.88

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Solution

The fourth proportional to 188,398.32, 282,265.38 and 99,455.88 is: 149,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,398.32 : 282,265.38 = 99,455.88 : x
  2. Step 2: Convert to fraction form
    188,398.32/282,265.38 = 99,455.88/x
  3. Step 3: Cross multiply
    188,398.32x = 282,265.38 × 99,455.88
  4. Step 4: Simplify right side
    188,398.32x = 28,072,951,761.43
  5. Step 5: Solve for x
    x = 28,072,951,761.43/188,398.32
  6. Step 6: Final answer
    x = 149,008.50

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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.