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Finding the Fourth Proportional to 83,208.89, 114,814.86 and 47,399.60

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Solution

The fourth proportional to 83,208.89, 114,814.86 and 47,399.60 is: 65,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,208.89 : 114,814.86 = 47,399.60 : x
  2. Step 2: Convert to fraction form
    83,208.89/114,814.86 = 47,399.60/x
  3. Step 3: Cross multiply
    83,208.89x = 114,814.86 × 47,399.60
  4. Step 4: Simplify right side
    83,208.89x = 5,442,178,438.06
  5. Step 5: Solve for x
    x = 5,442,178,438.06/83,208.89
  6. Step 6: Final answer
    x = 65,403.81

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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.