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Finding the Fourth Proportional to 52,339.86, 78,410.73 and 30,928.57

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Solution

The fourth proportional to 52,339.86, 78,410.73 and 30,928.57 is: 46,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,339.86 : 78,410.73 = 30,928.57 : x
  2. Step 2: Convert to fraction form
    52,339.86/78,410.73 = 30,928.57/x
  3. Step 3: Cross multiply
    52,339.86x = 78,410.73 × 30,928.57
  4. Step 4: Simplify right side
    52,339.86x = 2,425,131,310.39
  5. Step 5: Solve for x
    x = 2,425,131,310.39/52,339.86
  6. Step 6: Final answer
    x = 46,334.31

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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.