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Finding the Fourth Proportional to 57,243.20, 86,095.20 and 51,252.80

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Solution

The fourth proportional to 57,243.20, 86,095.20 and 51,252.80 is: 77,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,243.20 : 86,095.20 = 51,252.80 : x
  2. Step 2: Convert to fraction form
    57,243.20/86,095.20 = 51,252.80/x
  3. Step 3: Cross multiply
    57,243.20x = 86,095.20 × 51,252.80
  4. Step 4: Simplify right side
    57,243.20x = 4,412,620,066.56
  5. Step 5: Solve for x
    x = 4,412,620,066.56/57,243.20
  6. Step 6: Final answer
    x = 77,085.49

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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.