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Finding the Fourth Proportional to 123,855.68, 185,750.40 and 53,718.56

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Solution

The fourth proportional to 123,855.68, 185,750.40 and 53,718.56 is: 80,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,855.68 : 185,750.40 = 53,718.56 : x
  2. Step 2: Convert to fraction form
    123,855.68/185,750.40 = 53,718.56/x
  3. Step 3: Cross multiply
    123,855.68x = 185,750.40 × 53,718.56
  4. Step 4: Simplify right side
    123,855.68x = 9,978,244,007.42
  5. Step 5: Solve for x
    x = 9,978,244,007.42/123,855.68
  6. Step 6: Final answer
    x = 80,563.48

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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.