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Finding the Fourth Proportional to 188,998.12, 283,566.30 and 64,351.72

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Solution

The fourth proportional to 188,998.12, 283,566.30 and 64,351.72 is: 96,551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,998.12 : 283,566.30 = 64,351.72 : x
  2. Step 2: Convert to fraction form
    188,998.12/283,566.30 = 64,351.72/x
  3. Step 3: Cross multiply
    188,998.12x = 283,566.30 × 64,351.72
  4. Step 4: Simplify right side
    188,998.12x = 18,247,979,139.04
  5. Step 5: Solve for x
    x = 18,247,979,139.04/188,998.12
  6. Step 6: Final answer
    x = 96,551.11

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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.