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Finding the Fourth Proportional to 36,102.99, 49,822.74 and 20,185.74

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Solution

The fourth proportional to 36,102.99, 49,822.74 and 20,185.74 is: 27,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,102.99 : 49,822.74 = 20,185.74 : x
  2. Step 2: Convert to fraction form
    36,102.99/49,822.74 = 20,185.74/x
  3. Step 3: Cross multiply
    36,102.99x = 49,822.74 × 20,185.74
  4. Step 4: Simplify right side
    36,102.99x = 1,005,708,875.73
  5. Step 5: Solve for x
    x = 1,005,708,875.73/36,102.99
  6. Step 6: Final answer
    x = 27,856.66

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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.