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Finding the Fourth Proportional to 221,652.66, 305,981.37 and 141,190.50

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Solution

The fourth proportional to 221,652.66, 305,981.37 and 141,190.50 is: 194,907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,652.66 : 305,981.37 = 141,190.50 : x
  2. Step 2: Convert to fraction form
    221,652.66/305,981.37 = 141,190.50/x
  3. Step 3: Cross multiply
    221,652.66x = 305,981.37 × 141,190.50
  4. Step 4: Simplify right side
    221,652.66x = 43,201,662,620.99
  5. Step 5: Solve for x
    x = 43,201,662,620.99/221,652.66
  6. Step 6: Final answer
    x = 194,907.03

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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.