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Finding the Fourth Proportional to 78,757.78, 108,705.09 and 60,825.46

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Solution

The fourth proportional to 78,757.78, 108,705.09 and 60,825.46 is: 83,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,757.78 : 108,705.09 = 60,825.46 : x
  2. Step 2: Convert to fraction form
    78,757.78/108,705.09 = 60,825.46/x
  3. Step 3: Cross multiply
    78,757.78x = 108,705.09 × 60,825.46
  4. Step 4: Simplify right side
    78,757.78x = 6,612,037,103.59
  5. Step 5: Solve for x
    x = 6,612,037,103.59/78,757.78
  6. Step 6: Final answer
    x = 83,954.08

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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.