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Finding the Fourth Proportional to 138,704.64, 191,412.40 and 75,042.44

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Solution

The fourth proportional to 138,704.64, 191,412.40 and 75,042.44 is: 103,558.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,704.64 : 191,412.40 = 75,042.44 : x
  2. Step 2: Convert to fraction form
    138,704.64/191,412.40 = 75,042.44/x
  3. Step 3: Cross multiply
    138,704.64x = 191,412.40 × 75,042.44
  4. Step 4: Simplify right side
    138,704.64x = 14,364,053,542.26
  5. Step 5: Solve for x
    x = 14,364,053,542.26/138,704.64
  6. Step 6: Final answer
    x = 103,558.57

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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.