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Finding the Fourth Proportional to 221,112, 305,134.29 and 120,510

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Solution

The fourth proportional to 221,112, 305,134.29 and 120,510 is: 166,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,112 : 305,134.29 = 120,510 : x
  2. Step 2: Convert to fraction form
    221,112/305,134.29 = 120,510/x
  3. Step 3: Cross multiply
    221,112x = 305,134.29 × 120,510
  4. Step 4: Simplify right side
    221,112x = 36,771,733,287.90
  5. Step 5: Solve for x
    x = 36,771,733,287.90/221,112
  6. Step 6: Final answer
    x = 166,303.65

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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.