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Finding the Fourth Proportional to 57,856.76, 86,796.08 and 20,412.58

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Solution

The fourth proportional to 57,856.76, 86,796.08 and 20,412.58 is: 30,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,856.76 : 86,796.08 = 20,412.58 : x
  2. Step 2: Convert to fraction form
    57,856.76/86,796.08 = 20,412.58/x
  3. Step 3: Cross multiply
    57,856.76x = 86,796.08 × 20,412.58
  4. Step 4: Simplify right side
    57,856.76x = 1,771,731,390.64
  5. Step 5: Solve for x
    x = 1,771,731,390.64/57,856.76
  6. Step 6: Final answer
    x = 30,622.72

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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.