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Finding the Fourth Proportional to 57,881.54, 86,800.22 and 20,434.66

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Solution

The fourth proportional to 57,881.54, 86,800.22 and 20,434.66 is: 30,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,881.54 : 86,800.22 = 20,434.66 : x
  2. Step 2: Convert to fraction form
    57,881.54/86,800.22 = 20,434.66/x
  3. Step 3: Cross multiply
    57,881.54x = 86,800.22 × 20,434.66
  4. Step 4: Simplify right side
    57,881.54x = 1,773,732,983.63
  5. Step 5: Solve for x
    x = 1,773,732,983.63/57,881.54
  6. Step 6: Final answer
    x = 30,644.19

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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.