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Finding the Fourth Proportional to 83,011.85, 114,555.81 and 47,201.86

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Solution

The fourth proportional to 83,011.85, 114,555.81 and 47,201.86 is: 65,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,011.85 : 114,555.81 = 47,201.86 : x
  2. Step 2: Convert to fraction form
    83,011.85/114,555.81 = 47,201.86/x
  3. Step 3: Cross multiply
    83,011.85x = 114,555.81 × 47,201.86
  4. Step 4: Simplify right side
    83,011.85x = 5,407,247,626.01
  5. Step 5: Solve for x
    x = 5,407,247,626.01/83,011.85
  6. Step 6: Final answer
    x = 65,138.26

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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.