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Finding the Fourth Proportional to 57,686.48, 86,516.76 and 20,750.48

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Solution

The fourth proportional to 57,686.48, 86,516.76 and 20,750.48 is: 31,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,686.48 : 86,516.76 = 20,750.48 : x
  2. Step 2: Convert to fraction form
    57,686.48/86,516.76 = 20,750.48/x
  3. Step 3: Cross multiply
    57,686.48x = 86,516.76 × 20,750.48
  4. Step 4: Simplify right side
    57,686.48x = 1,795,264,298.04
  5. Step 5: Solve for x
    x = 1,795,264,298.04/57,686.48
  6. Step 6: Final answer
    x = 31,121.06

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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.