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Finding the Fourth Proportional to 253,497.87, 380,296.01 and 75,990.02

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Solution

The fourth proportional to 253,497.87, 380,296.01 and 75,990.02 is: 113,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,497.87 : 380,296.01 = 75,990.02 : x
  2. Step 2: Convert to fraction form
    253,497.87/380,296.01 = 75,990.02/x
  3. Step 3: Cross multiply
    253,497.87x = 380,296.01 × 75,990.02
  4. Step 4: Simplify right side
    253,497.87x = 28,898,699,124.39
  5. Step 5: Solve for x
    x = 28,898,699,124.39/253,497.87
  6. Step 6: Final answer
    x = 113,999.77

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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.