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Finding the Fourth Proportional to 53,680.50, 80,509.82 and 20,388.90

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Solution

The fourth proportional to 53,680.50, 80,509.82 and 20,388.90 is: 30,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,680.50 : 80,509.82 = 20,388.90 : x
  2. Step 2: Convert to fraction form
    53,680.50/80,509.82 = 20,388.90/x
  3. Step 3: Cross multiply
    53,680.50x = 80,509.82 × 20,388.90
  4. Step 4: Simplify right side
    53,680.50x = 1,641,506,669.00
  5. Step 5: Solve for x
    x = 1,641,506,669.00/53,680.50
  6. Step 6: Final answer
    x = 30,579.20

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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.