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Finding the Fourth Proportional to 208,052.24, 312,138.84 and 74,930

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Solution

The fourth proportional to 208,052.24, 312,138.84 and 74,930 is: 112,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,052.24 : 312,138.84 = 74,930 : x
  2. Step 2: Convert to fraction form
    208,052.24/312,138.84 = 74,930/x
  3. Step 3: Cross multiply
    208,052.24x = 312,138.84 × 74,930
  4. Step 4: Simplify right side
    208,052.24x = 23,388,563,281.20
  5. Step 5: Solve for x
    x = 23,388,563,281.20/208,052.24
  6. Step 6: Final answer
    x = 112,416.78

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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.