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Finding the Fourth Proportional to 78,649.92, 117,992.40 and 28,729.94

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Solution

The fourth proportional to 78,649.92, 117,992.40 and 28,729.94 is: 43,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649.92 : 117,992.40 = 28,729.94 : x
  2. Step 2: Convert to fraction form
    78,649.92/117,992.40 = 28,729.94/x
  3. Step 3: Cross multiply
    78,649.92x = 117,992.40 × 28,729.94
  4. Step 4: Simplify right side
    78,649.92x = 3,389,914,572.46
  5. Step 5: Solve for x
    x = 3,389,914,572.46/78,649.92
  6. Step 6: Final answer
    x = 43,101.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.