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Finding the Fourth Proportional to 137,433.60, 189,649.62 and 80,834.04

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Solution

The fourth proportional to 137,433.60, 189,649.62 and 80,834.04 is: 111,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,433.60 : 189,649.62 = 80,834.04 : x
  2. Step 2: Convert to fraction form
    137,433.60/189,649.62 = 80,834.04/x
  3. Step 3: Cross multiply
    137,433.60x = 189,649.62 × 80,834.04
  4. Step 4: Simplify right side
    137,433.60x = 15,330,144,969.06
  5. Step 5: Solve for x
    x = 15,330,144,969.06/137,433.60
  6. Step 6: Final answer
    x = 111,545.83

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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.