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Finding the Fourth Proportional to 37,141.20, 55,687.20 and 20,509.20

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Solution

The fourth proportional to 37,141.20, 55,687.20 and 20,509.20 is: 30,750.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,141.20 : 55,687.20 = 20,509.20 : x
  2. Step 2: Convert to fraction form
    37,141.20/55,687.20 = 20,509.20/x
  3. Step 3: Cross multiply
    37,141.20x = 55,687.20 × 20,509.20
  4. Step 4: Simplify right side
    37,141.20x = 1,142,099,922.24
  5. Step 5: Solve for x
    x = 1,142,099,922.24/37,141.20
  6. Step 6: Final answer
    x = 30,750.22

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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.