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Finding the Fourth Proportional to 57,796, 86,719.04 and 20,382.80

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Solution

The fourth proportional to 57,796, 86,719.04 and 20,382.80 is: 30,583.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,796 : 86,719.04 = 20,382.80 : x
  2. Step 2: Convert to fraction form
    57,796/86,719.04 = 20,382.80/x
  3. Step 3: Cross multiply
    57,796x = 86,719.04 × 20,382.80
  4. Step 4: Simplify right side
    57,796x = 1,767,576,848.51
  5. Step 5: Solve for x
    x = 1,767,576,848.51/57,796
  6. Step 6: Final answer
    x = 30,583.03

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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.