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Finding the Fourth Proportional to 188,412.30, 282,654.90 and 55,296.90

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Solution

The fourth proportional to 188,412.30, 282,654.90 and 55,296.90 is: 82,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,412.30 : 282,654.90 = 55,296.90 : x
  2. Step 2: Convert to fraction form
    188,412.30/282,654.90 = 55,296.90/x
  3. Step 3: Cross multiply
    188,412.30x = 282,654.90 × 55,296.90
  4. Step 4: Simplify right side
    188,412.30x = 15,629,939,739.81
  5. Step 5: Solve for x
    x = 15,629,939,739.81/188,412.30
  6. Step 6: Final answer
    x = 82,956.05

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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.