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Finding the Fourth Proportional to 52,578.60, 78,867.90 and 31,842.60

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Solution

The fourth proportional to 52,578.60, 78,867.90 and 31,842.60 is: 47,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,578.60 : 78,867.90 = 31,842.60 : x
  2. Step 2: Convert to fraction form
    52,578.60/78,867.90 = 31,842.60/x
  3. Step 3: Cross multiply
    52,578.60x = 78,867.90 × 31,842.60
  4. Step 4: Simplify right side
    52,578.60x = 2,511,358,992.54
  5. Step 5: Solve for x
    x = 2,511,358,992.54/52,578.60
  6. Step 6: Final answer
    x = 47,763.90

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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.