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Finding the Fourth Proportional to 57,924.43, 86,893.80 and 20,476.78

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Solution

The fourth proportional to 57,924.43, 86,893.80 and 20,476.78 is: 30,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,924.43 : 86,893.80 = 20,476.78 : x
  2. Step 2: Convert to fraction form
    57,924.43/86,893.80 = 20,476.78/x
  3. Step 3: Cross multiply
    57,924.43x = 86,893.80 × 20,476.78
  4. Step 4: Simplify right side
    57,924.43x = 1,779,305,225.96
  5. Step 5: Solve for x
    x = 1,779,305,225.96/57,924.43
  6. Step 6: Final answer
    x = 30,717.70

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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.