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Finding the Fourth Proportional to 138,676.28, 191,373.34 and 75,014.08

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Solution

The fourth proportional to 138,676.28, 191,373.34 and 75,014.08 is: 103,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,676.28 : 191,373.34 = 75,014.08 : x
  2. Step 2: Convert to fraction form
    138,676.28/191,373.34 = 75,014.08/x
  3. Step 3: Cross multiply
    138,676.28x = 191,373.34 × 75,014.08
  4. Step 4: Simplify right side
    138,676.28x = 14,355,693,704.69
  5. Step 5: Solve for x
    x = 14,355,693,704.69/138,676.28
  6. Step 6: Final answer
    x = 103,519.46

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1.5x scale

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.