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Finding the Fourth Proportional to 100,265.65, 138,364.43 and 54,942.66

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Solution

The fourth proportional to 100,265.65, 138,364.43 and 54,942.66 is: 75,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,265.65 : 138,364.43 = 54,942.66 : x
  2. Step 2: Convert to fraction form
    100,265.65/138,364.43 = 54,942.66/x
  3. Step 3: Cross multiply
    100,265.65x = 138,364.43 × 54,942.66
  4. Step 4: Simplify right side
    100,265.65x = 7,602,109,558.87
  5. Step 5: Solve for x
    x = 7,602,109,558.87/100,265.65
  6. Step 6: Final answer
    x = 75,819.68

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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.