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Finding the Fourth Proportional to 57,731.20, 86,596.80 and 39,068.80

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Solution

The fourth proportional to 57,731.20, 86,596.80 and 39,068.80 is: 58,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,731.20 : 86,596.80 = 39,068.80 : x
  2. Step 2: Convert to fraction form
    57,731.20/86,596.80 = 39,068.80/x
  3. Step 3: Cross multiply
    57,731.20x = 86,596.80 × 39,068.80
  4. Step 4: Simplify right side
    57,731.20x = 3,383,233,059.84
  5. Step 5: Solve for x
    x = 3,383,233,059.84/57,731.20
  6. Step 6: Final answer
    x = 58,603.20

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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.