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Finding the Fourth Proportional to 100,164.88, 138,217.96 and 59,870.64

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Solution

The fourth proportional to 100,164.88, 138,217.96 and 59,870.64 is: 82,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,164.88 : 138,217.96 = 59,870.64 : x
  2. Step 2: Convert to fraction form
    100,164.88/138,217.96 = 59,870.64/x
  3. Step 3: Cross multiply
    100,164.88x = 138,217.96 × 59,870.64
  4. Step 4: Simplify right side
    100,164.88x = 8,275,197,724.69
  5. Step 5: Solve for x
    x = 8,275,197,724.69/100,164.88
  6. Step 6: Final answer
    x = 82,615.76

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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.