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Finding the Fourth Proportional to 78,638.34, 117,840.84 and 57,759.78

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Solution

The fourth proportional to 78,638.34, 117,840.84 and 57,759.78 is: 86,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,638.34 : 117,840.84 = 57,759.78 : x
  2. Step 2: Convert to fraction form
    78,638.34/117,840.84 = 57,759.78/x
  3. Step 3: Cross multiply
    78,638.34x = 117,840.84 × 57,759.78
  4. Step 4: Simplify right side
    78,638.34x = 6,806,461,218.72
  5. Step 5: Solve for x
    x = 6,806,461,218.72/78,638.34
  6. Step 6: Final answer
    x = 86,553.97

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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.