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Finding the Fourth Proportional to 100,182, 138,252.12 and 55,470.96

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Solution

The fourth proportional to 100,182, 138,252.12 and 55,470.96 is: 76,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,182 : 138,252.12 = 55,470.96 : x
  2. Step 2: Convert to fraction form
    100,182/138,252.12 = 55,470.96/x
  3. Step 3: Cross multiply
    100,182x = 138,252.12 × 55,470.96
  4. Step 4: Simplify right side
    100,182x = 7,668,977,818.44
  5. Step 5: Solve for x
    x = 7,668,977,818.44/100,182
  6. Step 6: Final answer
    x = 76,550.46

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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.