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Finding the Fourth Proportional to 112,320, 168,489.72 and 29,214

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Solution

The fourth proportional to 112,320, 168,489.72 and 29,214 is: 43,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,320 : 168,489.72 = 29,214 : x
  2. Step 2: Convert to fraction form
    112,320/168,489.72 = 29,214/x
  3. Step 3: Cross multiply
    112,320x = 168,489.72 × 29,214
  4. Step 4: Simplify right side
    112,320x = 4,922,258,680.08
  5. Step 5: Solve for x
    x = 4,922,258,680.08/112,320
  6. Step 6: Final answer
    x = 43,823.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.