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Finding the Fourth Proportional to 100,574.87, 138,795.62 and 55,255.65

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Solution

The fourth proportional to 100,574.87, 138,795.62 and 55,255.65 is: 76,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,574.87 : 138,795.62 = 55,255.65 : x
  2. Step 2: Convert to fraction form
    100,574.87/138,795.62 = 55,255.65/x
  3. Step 3: Cross multiply
    100,574.87x = 138,795.62 × 55,255.65
  4. Step 4: Simplify right side
    100,574.87x = 7,669,241,923.97
  5. Step 5: Solve for x
    x = 7,669,241,923.97/100,574.87
  6. Step 6: Final answer
    x = 76,254.06

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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.