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Finding the Fourth Proportional to 138,764.64, 191,498.70 and 85,079.27

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Solution

The fourth proportional to 138,764.64, 191,498.70 and 85,079.27 is: 117,411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,764.64 : 191,498.70 = 85,079.27 : x
  2. Step 2: Convert to fraction form
    138,764.64/191,498.70 = 85,079.27/x
  3. Step 3: Cross multiply
    138,764.64x = 191,498.70 × 85,079.27
  4. Step 4: Simplify right side
    138,764.64x = 16,292,568,644.46
  5. Step 5: Solve for x
    x = 16,292,568,644.46/138,764.64
  6. Step 6: Final answer
    x = 117,411.53

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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.