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Finding the Fourth Proportional to 212,246.52, 292,906.38 and 121,611

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Solution

The fourth proportional to 212,246.52, 292,906.38 and 121,611 is: 167,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,246.52 : 292,906.38 = 121,611 : x
  2. Step 2: Convert to fraction form
    212,246.52/292,906.38 = 121,611/x
  3. Step 3: Cross multiply
    212,246.52x = 292,906.38 × 121,611
  4. Step 4: Simplify right side
    212,246.52x = 35,620,637,778.18
  5. Step 5: Solve for x
    x = 35,620,637,778.18/212,246.52
  6. Step 6: Final answer
    x = 167,826.72

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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.