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Finding the Fourth Proportional to 208,279.91, 312,419.87 and 50,508.37

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Solution

The fourth proportional to 208,279.91, 312,419.87 and 50,508.37 is: 75,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,279.91 : 312,419.87 = 50,508.37 : x
  2. Step 2: Convert to fraction form
    208,279.91/312,419.87 = 50,508.37/x
  3. Step 3: Cross multiply
    208,279.91x = 312,419.87 × 50,508.37
  4. Step 4: Simplify right side
    208,279.91x = 15,779,818,389.31
  5. Step 5: Solve for x
    x = 15,779,818,389.31/208,279.91
  6. Step 6: Final answer
    x = 75,762.56

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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.