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Finding the Fourth Proportional to 221,804, 306,091.68 and 121,204.16

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Solution

The fourth proportional to 221,804, 306,091.68 and 121,204.16 is: 167,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,804 : 306,091.68 = 121,204.16 : x
  2. Step 2: Convert to fraction form
    221,804/306,091.68 = 121,204.16/x
  3. Step 3: Cross multiply
    221,804x = 306,091.68 × 121,204.16
  4. Step 4: Simplify right side
    221,804x = 37,099,584,957.39
  5. Step 5: Solve for x
    x = 37,099,584,957.39/221,804
  6. Step 6: Final answer
    x = 167,262.92

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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.