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Finding the Fourth Proportional to 49,856.76, 74,786.20 and 20,254.19

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Solution

The fourth proportional to 49,856.76, 74,786.20 and 20,254.19 is: 30,381.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,856.76 : 74,786.20 = 20,254.19 : x
  2. Step 2: Convert to fraction form
    49,856.76/74,786.20 = 20,254.19/x
  3. Step 3: Cross multiply
    49,856.76x = 74,786.20 × 20,254.19
  4. Step 4: Simplify right side
    49,856.76x = 1,514,734,040.51
  5. Step 5: Solve for x
    x = 1,514,734,040.51/49,856.76
  6. Step 6: Final answer
    x = 30,381.72

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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.