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Finding the Fourth Proportional to 57,580.64, 86,396.10 and 20,167.58

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Solution

The fourth proportional to 57,580.64, 86,396.10 and 20,167.58 is: 30,260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,580.64 : 86,396.10 = 20,167.58 : x
  2. Step 2: Convert to fraction form
    57,580.64/86,396.10 = 20,167.58/x
  3. Step 3: Cross multiply
    57,580.64x = 86,396.10 × 20,167.58
  4. Step 4: Simplify right side
    57,580.64x = 1,742,400,258.44
  5. Step 5: Solve for x
    x = 1,742,400,258.44/57,580.64
  6. Step 6: Final answer
    x = 30,260.18

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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.