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Finding the Fourth Proportional to 100,578.28, 138,801.02 and 55,259.08

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Solution

The fourth proportional to 100,578.28, 138,801.02 and 55,259.08 is: 76,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578.28 : 138,801.02 = 55,259.08 : x
  2. Step 2: Convert to fraction form
    100,578.28/138,801.02 = 55,259.08/x
  3. Step 3: Cross multiply
    100,578.28x = 138,801.02 × 55,259.08
  4. Step 4: Simplify right side
    100,578.28x = 7,670,016,668.26
  5. Step 5: Solve for x
    x = 7,670,016,668.26/100,578.28
  6. Step 6: Final answer
    x = 76,259.18

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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.