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Finding the Fourth Proportional to 57,460.81, 86,169.87 and 20,011.27

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Solution

The fourth proportional to 57,460.81, 86,169.87 and 20,011.27 is: 30,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,460.81 : 86,169.87 = 20,011.27 : x
  2. Step 2: Convert to fraction form
    57,460.81/86,169.87 = 20,011.27/x
  3. Step 3: Cross multiply
    57,460.81x = 86,169.87 × 20,011.27
  4. Step 4: Simplify right side
    57,460.81x = 1,724,368,534.43
  5. Step 5: Solve for x
    x = 1,724,368,534.43/57,460.81
  6. Step 6: Final answer
    x = 30,009.47

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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.