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Finding the Fourth Proportional to 53,489.65, 80,204.10 and 20,210.80

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Solution

The fourth proportional to 53,489.65, 80,204.10 and 20,210.80 is: 30,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,489.65 : 80,204.10 = 20,210.80 : x
  2. Step 2: Convert to fraction form
    53,489.65/80,204.10 = 20,210.80/x
  3. Step 3: Cross multiply
    53,489.65x = 80,204.10 × 20,210.80
  4. Step 4: Simplify right side
    53,489.65x = 1,620,989,024.28
  5. Step 5: Solve for x
    x = 1,620,989,024.28/53,489.65
  6. Step 6: Final answer
    x = 30,304.72

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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.