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Finding the Fourth Proportional to 53,649.70, 80,474.56 and 14,209.90

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Solution

The fourth proportional to 53,649.70, 80,474.56 and 14,209.90 is: 21,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,649.70 : 80,474.56 = 14,209.90 : x
  2. Step 2: Convert to fraction form
    53,649.70/80,474.56 = 14,209.90/x
  3. Step 3: Cross multiply
    53,649.70x = 80,474.56 × 14,209.90
  4. Step 4: Simplify right side
    53,649.70x = 1,143,535,213.43
  5. Step 5: Solve for x
    x = 1,143,535,213.43/53,649.70
  6. Step 6: Final answer
    x = 21,314.85

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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.