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Finding the Fourth Proportional to 36,142.99, 49,877.58 and 20,228.92

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Solution

The fourth proportional to 36,142.99, 49,877.58 and 20,228.92 is: 27,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,142.99 : 49,877.58 = 20,228.92 : x
  2. Step 2: Convert to fraction form
    36,142.99/49,877.58 = 20,228.92/x
  3. Step 3: Cross multiply
    36,142.99x = 49,877.58 × 20,228.92
  4. Step 4: Simplify right side
    36,142.99x = 1,008,969,575.61
  5. Step 5: Solve for x
    x = 1,008,969,575.61/36,142.99
  6. Step 6: Final answer
    x = 27,916.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.