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Finding the Fourth Proportional to 100,194.01, 138,361.40 and 64,446.08

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Solution

The fourth proportional to 100,194.01, 138,361.40 and 64,446.08 is: 88,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,194.01 : 138,361.40 = 64,446.08 : x
  2. Step 2: Convert to fraction form
    100,194.01/138,361.40 = 64,446.08/x
  3. Step 3: Cross multiply
    100,194.01x = 138,361.40 × 64,446.08
  4. Step 4: Simplify right side
    100,194.01x = 8,916,848,839.27
  5. Step 5: Solve for x
    x = 8,916,848,839.27/100,194.01
  6. Step 6: Final answer
    x = 88,995.83

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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.