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Finding the Fourth Proportional to 55,873.21, 83,809.86 and 20,804.71

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Solution

The fourth proportional to 55,873.21, 83,809.86 and 20,804.71 is: 31,207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,873.21 : 83,809.86 = 20,804.71 : x
  2. Step 2: Convert to fraction form
    55,873.21/83,809.86 = 20,804.71/x
  3. Step 3: Cross multiply
    55,873.21x = 83,809.86 × 20,804.71
  4. Step 4: Simplify right side
    55,873.21x = 1,743,639,832.44
  5. Step 5: Solve for x
    x = 1,743,639,832.44/55,873.21
  6. Step 6: Final answer
    x = 31,207.08

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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.