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Finding the Fourth Proportional to 83,489.16, 115,223.37 and 47,684.58

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Solution

The fourth proportional to 83,489.16, 115,223.37 and 47,684.58 is: 65,809.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,489.16 : 115,223.37 = 47,684.58 : x
  2. Step 2: Convert to fraction form
    83,489.16/115,223.37 = 47,684.58/x
  3. Step 3: Cross multiply
    83,489.16x = 115,223.37 × 47,684.58
  4. Step 4: Simplify right side
    83,489.16x = 5,494,378,004.63
  5. Step 5: Solve for x
    x = 5,494,378,004.63/83,489.16
  6. Step 6: Final answer
    x = 65,809.48

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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.