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Finding the Fourth Proportional to 221,039.52, 331,605.36 and 73,284

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Solution

The fourth proportional to 221,039.52, 331,605.36 and 73,284 is: 109,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,039.52 : 331,605.36 = 73,284 : x
  2. Step 2: Convert to fraction form
    221,039.52/331,605.36 = 73,284/x
  3. Step 3: Cross multiply
    221,039.52x = 331,605.36 × 73,284
  4. Step 4: Simplify right side
    221,039.52x = 24,301,367,202.24
  5. Step 5: Solve for x
    x = 24,301,367,202.24/221,039.52
  6. Step 6: Final answer
    x = 109,941.28

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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.