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Finding the Fourth Proportional to 221,634.64, 305,851.08 and 121,033.04

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Solution

The fourth proportional to 221,634.64, 305,851.08 and 121,033.04 is: 167,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,634.64 : 305,851.08 = 121,033.04 : x
  2. Step 2: Convert to fraction form
    221,634.64/305,851.08 = 121,033.04/x
  3. Step 3: Cross multiply
    221,634.64x = 305,851.08 × 121,033.04
  4. Step 4: Simplify right side
    221,634.64x = 37,018,085,999.68
  5. Step 5: Solve for x
    x = 37,018,085,999.68/221,634.64
  6. Step 6: Final answer
    x = 167,023.02

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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.