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Finding the Fourth Proportional to 83,865.50, 115,734.39 and 46,138.94

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Solution

The fourth proportional to 83,865.50, 115,734.39 and 46,138.94 is: 63,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,865.50 : 115,734.39 = 46,138.94 : x
  2. Step 2: Convert to fraction form
    83,865.50/115,734.39 = 46,138.94/x
  3. Step 3: Cross multiply
    83,865.50x = 115,734.39 × 46,138.94
  4. Step 4: Simplify right side
    83,865.50x = 5,339,862,076.15
  5. Step 5: Solve for x
    x = 5,339,862,076.15/83,865.50
  6. Step 6: Final answer
    x = 63,671.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.