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Finding the Fourth Proportional to 243,271.24, 364,757.80 and 85,517.80

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Solution

The fourth proportional to 243,271.24, 364,757.80 and 85,517.80 is: 128,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,271.24 : 364,757.80 = 85,517.80 : x
  2. Step 2: Convert to fraction form
    243,271.24/364,757.80 = 85,517.80/x
  3. Step 3: Cross multiply
    243,271.24x = 364,757.80 × 85,517.80
  4. Step 4: Simplify right side
    243,271.24x = 31,193,284,588.84
  5. Step 5: Solve for x
    x = 31,193,284,588.84/243,271.24
  6. Step 6: Final answer
    x = 128,224.30

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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.