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Finding the Fourth Proportional to 221,806, 306,094.44 and 121,206.16

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Solution

The fourth proportional to 221,806, 306,094.44 and 121,206.16 is: 167,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,806 : 306,094.44 = 121,206.16 : x
  2. Step 2: Convert to fraction form
    221,806/306,094.44 = 121,206.16/x
  3. Step 3: Cross multiply
    221,806x = 306,094.44 × 121,206.16
  4. Step 4: Simplify right side
    221,806x = 37,100,531,669.75
  5. Step 5: Solve for x
    x = 37,100,531,669.75/221,806
  6. Step 6: Final answer
    x = 167,265.68

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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.