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Finding the Fourth Proportional to 253,021.26, 379,518.93 and 75,529.74

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Solution

The fourth proportional to 253,021.26, 379,518.93 and 75,529.74 is: 113,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,021.26 : 379,518.93 = 75,529.74 : x
  2. Step 2: Convert to fraction form
    253,021.26/379,518.93 = 75,529.74/x
  3. Step 3: Cross multiply
    253,021.26x = 379,518.93 × 75,529.74
  4. Step 4: Simplify right side
    253,021.26x = 28,664,966,107.98
  5. Step 5: Solve for x
    x = 28,664,966,107.98/253,021.26
  6. Step 6: Final answer
    x = 113,290.74

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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.