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Finding the Fourth Proportional to 89,489.30, 133,941.87 and 65,790.57

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Solution

The fourth proportional to 89,489.30, 133,941.87 and 65,790.57 is: 98,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,489.30 : 133,941.87 = 65,790.57 : x
  2. Step 2: Convert to fraction form
    89,489.30/133,941.87 = 65,790.57/x
  3. Step 3: Cross multiply
    89,489.30x = 133,941.87 × 65,790.57
  4. Step 4: Simplify right side
    89,489.30x = 8,812,112,723.16
  5. Step 5: Solve for x
    x = 8,812,112,723.16/89,489.30
  6. Step 6: Final answer
    x = 98,471.13

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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.