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Finding the Fourth Proportional to 100,149.63, 138,206.48 and 54,827.47

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Solution

The fourth proportional to 100,149.63, 138,206.48 and 54,827.47 is: 75,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,149.63 : 138,206.48 = 54,827.47 : x
  2. Step 2: Convert to fraction form
    100,149.63/138,206.48 = 54,827.47/x
  3. Step 3: Cross multiply
    100,149.63x = 138,206.48 × 54,827.47
  4. Step 4: Simplify right side
    100,149.63x = 7,577,511,016.35
  5. Step 5: Solve for x
    x = 7,577,511,016.35/100,149.63
  6. Step 6: Final answer
    x = 75,661.90

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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.