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Finding the Fourth Proportional to 83,781, 115,618.32 and 46,056.60

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Solution

The fourth proportional to 83,781, 115,618.32 and 46,056.60 is: 63,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,781 : 115,618.32 = 46,056.60 : x
  2. Step 2: Convert to fraction form
    83,781/115,618.32 = 46,056.60/x
  3. Step 3: Cross multiply
    83,781x = 115,618.32 × 46,056.60
  4. Step 4: Simplify right side
    83,781x = 5,324,986,716.91
  5. Step 5: Solve for x
    x = 5,324,986,716.91/83,781
  6. Step 6: Final answer
    x = 63,558.40

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1.5x scale

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.