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Finding the Fourth Proportional to 85,378.86, 117,822.20 and 47,138.49

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Solution

The fourth proportional to 85,378.86, 117,822.20 and 47,138.49 is: 65,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,378.86 : 117,822.20 = 47,138.49 : x
  2. Step 2: Convert to fraction form
    85,378.86/117,822.20 = 47,138.49/x
  3. Step 3: Cross multiply
    85,378.86x = 117,822.20 × 47,138.49
  4. Step 4: Simplify right side
    85,378.86x = 5,553,960,360.79
  5. Step 5: Solve for x
    x = 5,553,960,360.79/85,378.86
  6. Step 6: Final answer
    x = 65,050.77

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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.