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Finding the Fourth Proportional to 136,792.86, 188,769.18 and 85,833.06

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Solution

The fourth proportional to 136,792.86, 188,769.18 and 85,833.06 is: 118,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,792.86 : 188,769.18 = 85,833.06 : x
  2. Step 2: Convert to fraction form
    136,792.86/188,769.18 = 85,833.06/x
  3. Step 3: Cross multiply
    136,792.86x = 188,769.18 × 85,833.06
  4. Step 4: Simplify right side
    136,792.86x = 16,202,636,353.09
  5. Step 5: Solve for x
    x = 16,202,636,353.09/136,792.86
  6. Step 6: Final answer
    x = 118,446.51

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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.