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Finding the Fourth Proportional to 253,084.07, 379,705.08 and 75,598.09

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Solution

The fourth proportional to 253,084.07, 379,705.08 and 75,598.09 is: 113,420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,084.07 : 379,705.08 = 75,598.09 : x
  2. Step 2: Convert to fraction form
    253,084.07/379,705.08 = 75,598.09/x
  3. Step 3: Cross multiply
    253,084.07x = 379,705.08 × 75,598.09
  4. Step 4: Simplify right side
    253,084.07x = 28,704,978,811.30
  5. Step 5: Solve for x
    x = 28,704,978,811.30/253,084.07
  6. Step 6: Final answer
    x = 113,420.73

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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.