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Finding the Fourth Proportional to 83,684.87, 115,427.81 and 53,456.77

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Solution

The fourth proportional to 83,684.87, 115,427.81 and 53,456.77 is: 73,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,684.87 : 115,427.81 = 53,456.77 : x
  2. Step 2: Convert to fraction form
    83,684.87/115,427.81 = 53,456.77/x
  3. Step 3: Cross multiply
    83,684.87x = 115,427.81 × 53,456.77
  4. Step 4: Simplify right side
    83,684.87x = 6,170,398,180.67
  5. Step 5: Solve for x
    x = 6,170,398,180.67/83,684.87
  6. Step 6: Final answer
    x = 73,733.74

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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.