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Finding the Fourth Proportional to 196,821.52, 271,535.52 and 121,238.80

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Solution

The fourth proportional to 196,821.52, 271,535.52 and 121,238.80 is: 167,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,821.52 : 271,535.52 = 121,238.80 : x
  2. Step 2: Convert to fraction form
    196,821.52/271,535.52 = 121,238.80/x
  3. Step 3: Cross multiply
    196,821.52x = 271,535.52 × 121,238.80
  4. Step 4: Simplify right side
    196,821.52x = 32,920,640,602.18
  5. Step 5: Solve for x
    x = 32,920,640,602.18/196,821.52
  6. Step 6: Final answer
    x = 167,261.39

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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.