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Finding the Fourth Proportional to 78,754.86, 117,998.64 and 47,524.50

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Solution

The fourth proportional to 78,754.86, 117,998.64 and 47,524.50 is: 71,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,754.86 : 117,998.64 = 47,524.50 : x
  2. Step 2: Convert to fraction form
    78,754.86/117,998.64 = 47,524.50/x
  3. Step 3: Cross multiply
    78,754.86x = 117,998.64 × 47,524.50
  4. Step 4: Simplify right side
    78,754.86x = 5,607,826,366.68
  5. Step 5: Solve for x
    x = 5,607,826,366.68/78,754.86
  6. Step 6: Final answer
    x = 71,206.10

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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.