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Finding the Fourth Proportional to 119,350.86, 164,708.42 and 65,640.03

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Solution

The fourth proportional to 119,350.86, 164,708.42 and 65,640.03 is: 90,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,350.86 : 164,708.42 = 65,640.03 : x
  2. Step 2: Convert to fraction form
    119,350.86/164,708.42 = 65,640.03/x
  3. Step 3: Cross multiply
    119,350.86x = 164,708.42 × 65,640.03
  4. Step 4: Simplify right side
    119,350.86x = 10,811,465,630.05
  5. Step 5: Solve for x
    x = 10,811,465,630.05/119,350.86
  6. Step 6: Final answer
    x = 90,585.57

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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.