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Finding the Fourth Proportional to 86,822.88, 130,021.92 and 78,408.42

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Solution

The fourth proportional to 86,822.88, 130,021.92 and 78,408.42 is: 117,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,822.88 : 130,021.92 = 78,408.42 : x
  2. Step 2: Convert to fraction form
    86,822.88/130,021.92 = 78,408.42/x
  3. Step 3: Cross multiply
    86,822.88x = 130,021.92 × 78,408.42
  4. Step 4: Simplify right side
    86,822.88x = 10,194,813,312.57
  5. Step 5: Solve for x
    x = 10,194,813,312.57/86,822.88
  6. Step 6: Final answer
    x = 117,420.81

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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.