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Finding the Fourth Proportional to 237,976, 356,978.60 and 71,764

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Solution

The fourth proportional to 237,976, 356,978.60 and 71,764 is: 107,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,976 : 356,978.60 = 71,764 : x
  2. Step 2: Convert to fraction form
    237,976/356,978.60 = 71,764/x
  3. Step 3: Cross multiply
    237,976x = 356,978.60 × 71,764
  4. Step 4: Simplify right side
    237,976x = 25,618,212,250.40
  5. Step 5: Solve for x
    x = 25,618,212,250.40/237,976
  6. Step 6: Final answer
    x = 107,650.40

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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.