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Finding the Fourth Proportional to 100,165.80, 138,224.53 and 54,842.96

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Solution

The fourth proportional to 100,165.80, 138,224.53 and 54,842.96 is: 75,680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,165.80 : 138,224.53 = 54,842.96 : x
  2. Step 2: Convert to fraction form
    100,165.80/138,224.53 = 54,842.96/x
  3. Step 3: Cross multiply
    100,165.80x = 138,224.53 × 54,842.96
  4. Step 4: Simplify right side
    100,165.80x = 7,580,642,095.59
  5. Step 5: Solve for x
    x = 7,580,642,095.59/100,165.80
  6. Step 6: Final answer
    x = 75,680.94

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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.