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Finding the Fourth Proportional to 193,187.92, 289,709.08 and 80,875.90

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Solution

The fourth proportional to 193,187.92, 289,709.08 and 80,875.90 is: 121,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,187.92 : 289,709.08 = 80,875.90 : x
  2. Step 2: Convert to fraction form
    193,187.92/289,709.08 = 80,875.90/x
  3. Step 3: Cross multiply
    193,187.92x = 289,709.08 × 80,875.90
  4. Step 4: Simplify right side
    193,187.92x = 23,430,480,730.25
  5. Step 5: Solve for x
    x = 23,430,480,730.25/193,187.92
  6. Step 6: Final answer
    x = 121,283.36

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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.