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Finding the Fourth Proportional to 73,305.74, 109,948.86 and 20,719.28

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Solution

The fourth proportional to 73,305.74, 109,948.86 and 20,719.28 is: 31,076.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,305.74 : 109,948.86 = 20,719.28 : x
  2. Step 2: Convert to fraction form
    73,305.74/109,948.86 = 20,719.28/x
  3. Step 3: Cross multiply
    73,305.74x = 109,948.86 × 20,719.28
  4. Step 4: Simplify right side
    73,305.74x = 2,278,061,216.02
  5. Step 5: Solve for x
    x = 2,278,061,216.02/73,305.74
  6. Step 6: Final answer
    x = 31,076.16

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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.