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Finding the Fourth Proportional to 53,859.87, 80,787.65 and 20,578.59

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Solution

The fourth proportional to 53,859.87, 80,787.65 and 20,578.59 is: 30,867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,859.87 : 80,787.65 = 20,578.59 : x
  2. Step 2: Convert to fraction form
    53,859.87/80,787.65 = 20,578.59/x
  3. Step 3: Cross multiply
    53,859.87x = 80,787.65 × 20,578.59
  4. Step 4: Simplify right side
    53,859.87x = 1,662,495,823.52
  5. Step 5: Solve for x
    x = 1,662,495,823.52/53,859.87
  6. Step 6: Final answer
    x = 30,867.06

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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.