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Finding the Fourth Proportional to 189,506.00, 261,488.54 and 108,918.47

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Solution

The fourth proportional to 189,506.00, 261,488.54 and 108,918.47 is: 150,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,506.00 : 261,488.54 = 108,918.47 : x
  2. Step 2: Convert to fraction form
    189,506.00/261,488.54 = 108,918.47/x
  3. Step 3: Cross multiply
    189,506.00x = 261,488.54 × 108,918.47
  4. Step 4: Simplify right side
    189,506.00x = 28,480,929,847.30
  5. Step 5: Solve for x
    x = 28,480,929,847.30/189,506.00
  6. Step 6: Final answer
    x = 150,290.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.