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Finding the Fourth Proportional to 57,803.20, 86,623.80 and 45,977.20

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Solution

The fourth proportional to 57,803.20, 86,623.80 and 45,977.20 is: 68,901.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,803.20 : 86,623.80 = 45,977.20 : x
  2. Step 2: Convert to fraction form
    57,803.20/86,623.80 = 45,977.20/x
  3. Step 3: Cross multiply
    57,803.20x = 86,623.80 × 45,977.20
  4. Step 4: Simplify right side
    57,803.20x = 3,982,719,777.36
  5. Step 5: Solve for x
    x = 3,982,719,777.36/57,803.20
  6. Step 6: Final answer
    x = 68,901.37

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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.