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Finding the Fourth Proportional to 100,539, 138,743.82 and 55,827

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Solution

The fourth proportional to 100,539, 138,743.82 and 55,827 is: 77,041.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,539 : 138,743.82 = 55,827 : x
  2. Step 2: Convert to fraction form
    100,539/138,743.82 = 55,827/x
  3. Step 3: Cross multiply
    100,539x = 138,743.82 × 55,827
  4. Step 4: Simplify right side
    100,539x = 7,745,651,239.14
  5. Step 5: Solve for x
    x = 7,745,651,239.14/100,539
  6. Step 6: Final answer
    x = 77,041.26

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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.