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Finding the Fourth Proportional to 100,243.93, 138,284.09 and 61,991.28

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Solution

The fourth proportional to 100,243.93, 138,284.09 and 61,991.28 is: 85,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,243.93 : 138,284.09 = 61,991.28 : x
  2. Step 2: Convert to fraction form
    100,243.93/138,284.09 = 61,991.28/x
  3. Step 3: Cross multiply
    100,243.93x = 138,284.09 × 61,991.28
  4. Step 4: Simplify right side
    100,243.93x = 8,572,407,742.74
  5. Step 5: Solve for x
    x = 8,572,407,742.74/100,243.93
  6. Step 6: Final answer
    x = 85,515.48

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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.