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Finding the Fourth Proportional to 185,056.92, 255,111.12 and 121,284

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Solution

The fourth proportional to 185,056.92, 255,111.12 and 121,284 is: 167,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,056.92 : 255,111.12 = 121,284 : x
  2. Step 2: Convert to fraction form
    185,056.92/255,111.12 = 121,284/x
  3. Step 3: Cross multiply
    185,056.92x = 255,111.12 × 121,284
  4. Step 4: Simplify right side
    185,056.92x = 30,940,897,078.08
  5. Step 5: Solve for x
    x = 30,940,897,078.08/185,056.92
  6. Step 6: Final answer
    x = 167,196.65

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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.