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Finding the Fourth Proportional to 221,200.52, 305,283.08 and 139,647.28

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Solution

The fourth proportional to 221,200.52, 305,283.08 and 139,647.28 is: 192,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,200.52 : 305,283.08 = 139,647.28 : x
  2. Step 2: Convert to fraction form
    221,200.52/305,283.08 = 139,647.28/x
  3. Step 3: Cross multiply
    221,200.52x = 305,283.08 × 139,647.28
  4. Step 4: Simplify right side
    221,200.52x = 42,631,951,752.02
  5. Step 5: Solve for x
    x = 42,631,951,752.02/221,200.52
  6. Step 6: Final answer
    x = 192,729.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.