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Finding the Fourth Proportional to 180,806.67, 270,903.81 and 109,513.86

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Solution

The fourth proportional to 180,806.67, 270,903.81 and 109,513.86 is: 164,085.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,806.67 : 270,903.81 = 109,513.86 : x
  2. Step 2: Convert to fraction form
    180,806.67/270,903.81 = 109,513.86/x
  3. Step 3: Cross multiply
    180,806.67x = 270,903.81 × 109,513.86
  4. Step 4: Simplify right side
    180,806.67x = 29,667,721,921.81
  5. Step 5: Solve for x
    x = 29,667,721,921.81/180,806.67
  6. Step 6: Final answer
    x = 164,085.33

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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.