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Finding the Fourth Proportional to 87,986.40, 131,893.20 and 78,655.20

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Solution

The fourth proportional to 87,986.40, 131,893.20 and 78,655.20 is: 117,905.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,986.40 : 131,893.20 = 78,655.20 : x
  2. Step 2: Convert to fraction form
    87,986.40/131,893.20 = 78,655.20/x
  3. Step 3: Cross multiply
    87,986.40x = 131,893.20 × 78,655.20
  4. Step 4: Simplify right side
    87,986.40x = 10,374,086,024.64
  5. Step 5: Solve for x
    x = 10,374,086,024.64/87,986.40
  6. Step 6: Final answer
    x = 117,905.56

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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.