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Finding the Fourth Proportional to 138,649.69, 191,336.61 and 78,233.14

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Solution

The fourth proportional to 138,649.69, 191,336.61 and 78,233.14 is: 107,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,649.69 : 191,336.61 = 78,233.14 : x
  2. Step 2: Convert to fraction form
    138,649.69/191,336.61 = 78,233.14/x
  3. Step 3: Cross multiply
    138,649.69x = 191,336.61 × 78,233.14
  4. Step 4: Simplify right side
    138,649.69x = 14,968,863,797.26
  5. Step 5: Solve for x
    x = 14,968,863,797.26/138,649.69
  6. Step 6: Final answer
    x = 107,961.75

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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.