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Finding the Fourth Proportional to 208,250.10, 312,374.11 and 50,478.56

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Solution

The fourth proportional to 208,250.10, 312,374.11 and 50,478.56 is: 75,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,250.10 : 312,374.11 = 50,478.56 : x
  2. Step 2: Convert to fraction form
    208,250.10/312,374.11 = 50,478.56/x
  3. Step 3: Cross multiply
    208,250.10x = 312,374.11 × 50,478.56
  4. Step 4: Simplify right side
    208,250.10x = 15,768,195,254.08
  5. Step 5: Solve for x
    x = 15,768,195,254.08/208,250.10
  6. Step 6: Final answer
    x = 75,717.59

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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.