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Finding the Fourth Proportional to 53,872.80, 80,809.20 and 49,984.80

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Solution

The fourth proportional to 53,872.80, 80,809.20 and 49,984.80 is: 74,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,872.80 : 80,809.20 = 49,984.80 : x
  2. Step 2: Convert to fraction form
    53,872.80/80,809.20 = 49,984.80/x
  3. Step 3: Cross multiply
    53,872.80x = 80,809.20 × 49,984.80
  4. Step 4: Simplify right side
    53,872.80x = 4,039,231,700.16
  5. Step 5: Solve for x
    x = 4,039,231,700.16/53,872.80
  6. Step 6: Final answer
    x = 74,977.20

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1.5x scale

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.