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Finding the Fourth Proportional to 49,509.56, 74,247.06 and 19,919.72

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Solution

The fourth proportional to 49,509.56, 74,247.06 and 19,919.72 is: 29,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509.56 : 74,247.06 = 19,919.72 : x
  2. Step 2: Convert to fraction form
    49,509.56/74,247.06 = 19,919.72/x
  3. Step 3: Cross multiply
    49,509.56x = 74,247.06 × 19,919.72
  4. Step 4: Simplify right side
    49,509.56x = 1,478,980,646.02
  5. Step 5: Solve for x
    x = 1,478,980,646.02/49,509.56
  6. Step 6: Final answer
    x = 29,872.63

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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.