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Finding the Fourth Proportional to 100,054.53, 138,092.31 and 57,637.71

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Solution

The fourth proportional to 100,054.53, 138,092.31 and 57,637.71 is: 79,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,054.53 : 138,092.31 = 57,637.71 : x
  2. Step 2: Convert to fraction form
    100,054.53/138,092.31 = 57,637.71/x
  3. Step 3: Cross multiply
    100,054.53x = 138,092.31 × 57,637.71
  4. Step 4: Simplify right side
    100,054.53x = 7,959,324,517.01
  5. Step 5: Solve for x
    x = 7,959,324,517.01/100,054.53
  6. Step 6: Final answer
    x = 79,549.87

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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.