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Finding the Fourth Proportional to 221,676, 305,914.50 and 121,074

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Solution

The fourth proportional to 221,676, 305,914.50 and 121,074 is: 167,083.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,676 : 305,914.50 = 121,074 : x
  2. Step 2: Convert to fraction form
    221,676/305,914.50 = 121,074/x
  3. Step 3: Cross multiply
    221,676x = 305,914.50 × 121,074
  4. Step 4: Simplify right side
    221,676x = 37,038,292,173
  5. Step 5: Solve for x
    x = 37,038,292,173/221,676
  6. Step 6: Final answer
    x = 167,083.00

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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.