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Finding the Fourth Proportional to 188,428.20, 282,642.30 and 63,769.20

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Solution

The fourth proportional to 188,428.20, 282,642.30 and 63,769.20 is: 95,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,428.20 : 282,642.30 = 63,769.20 : x
  2. Step 2: Convert to fraction form
    188,428.20/282,642.30 = 63,769.20/x
  3. Step 3: Cross multiply
    188,428.20x = 282,642.30 × 63,769.20
  4. Step 4: Simplify right side
    188,428.20x = 18,023,873,357.16
  5. Step 5: Solve for x
    x = 18,023,873,357.16/188,428.20
  6. Step 6: Final answer
    x = 95,653.80

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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.