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Finding the Fourth Proportional to 83,684.74, 115,485.57 and 47,872.54

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Solution

The fourth proportional to 83,684.74, 115,485.57 and 47,872.54 is: 66,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,684.74 : 115,485.57 = 47,872.54 : x
  2. Step 2: Convert to fraction form
    83,684.74/115,485.57 = 47,872.54/x
  3. Step 3: Cross multiply
    83,684.74x = 115,485.57 × 47,872.54
  4. Step 4: Simplify right side
    83,684.74x = 5,528,587,569.25
  5. Step 5: Solve for x
    x = 5,528,587,569.25/83,684.74
  6. Step 6: Final answer
    x = 66,064.46

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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.