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Finding the Fourth Proportional to 221,624, 305,842.72 and 121,022

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Solution

The fourth proportional to 221,624, 305,842.72 and 121,022 is: 167,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,624 : 305,842.72 = 121,022 : x
  2. Step 2: Convert to fraction form
    221,624/305,842.72 = 121,022/x
  3. Step 3: Cross multiply
    221,624x = 305,842.72 × 121,022
  4. Step 4: Simplify right side
    221,624x = 37,013,697,659.84
  5. Step 5: Solve for x
    x = 37,013,697,659.84/221,624
  6. Step 6: Final answer
    x = 167,011.23

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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.