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Finding the Fourth Proportional to 138,441, 191,048.66 and 74,778.80

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Solution

The fourth proportional to 138,441, 191,048.66 and 74,778.80 is: 103,194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,441 : 191,048.66 = 74,778.80 : x
  2. Step 2: Convert to fraction form
    138,441/191,048.66 = 74,778.80/x
  3. Step 3: Cross multiply
    138,441x = 191,048.66 × 74,778.80
  4. Step 4: Simplify right side
    138,441x = 14,286,389,536.41
  5. Step 5: Solve for x
    x = 14,286,389,536.41/138,441
  6. Step 6: Final answer
    x = 103,194.79

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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.