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Finding the Fourth Proportional to 57,712, 86,516.16 and 20,767.36

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Solution

The fourth proportional to 57,712, 86,516.16 and 20,767.36 is: 31,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,712 : 86,516.16 = 20,767.36 : x
  2. Step 2: Convert to fraction form
    57,712/86,516.16 = 20,767.36/x
  3. Step 3: Cross multiply
    57,712x = 86,516.16 × 20,767.36
  4. Step 4: Simplify right side
    57,712x = 1,796,712,240.54
  5. Step 5: Solve for x
    x = 1,796,712,240.54/57,712
  6. Step 6: Final answer
    x = 31,132.39

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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.