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Finding the Fourth Proportional to 57,877.92, 86,823.84 and 20,430.28

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Solution

The fourth proportional to 57,877.92, 86,823.84 and 20,430.28 is: 30,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,877.92 : 86,823.84 = 20,430.28 : x
  2. Step 2: Convert to fraction form
    57,877.92/86,823.84 = 20,430.28/x
  3. Step 3: Cross multiply
    57,877.92x = 86,823.84 × 20,430.28
  4. Step 4: Simplify right side
    57,877.92x = 1,773,835,361.88
  5. Step 5: Solve for x
    x = 1,773,835,361.88/57,877.92
  6. Step 6: Final answer
    x = 30,647.88

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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.