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Finding the Fourth Proportional to 253,740.80, 380,617.37 and 85,263.57

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Solution

The fourth proportional to 253,740.80, 380,617.37 and 85,263.57 is: 127,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,740.80 : 380,617.37 = 85,263.57 : x
  2. Step 2: Convert to fraction form
    253,740.80/380,617.37 = 85,263.57/x
  3. Step 3: Cross multiply
    253,740.80x = 380,617.37 × 85,263.57
  4. Step 4: Simplify right side
    253,740.80x = 32,452,795,770.21
  5. Step 5: Solve for x
    x = 32,452,795,770.21/253,740.80
  6. Step 6: Final answer
    x = 127,897.43

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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.