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Finding the Fourth Proportional to 83,886, 115,763.07 and 48,078.12

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Solution

The fourth proportional to 83,886, 115,763.07 and 48,078.12 is: 66,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,886 : 115,763.07 = 48,078.12 : x
  2. Step 2: Convert to fraction form
    83,886/115,763.07 = 48,078.12/x
  3. Step 3: Cross multiply
    83,886x = 115,763.07 × 48,078.12
  4. Step 4: Simplify right side
    83,886x = 5,565,670,771.03
  5. Step 5: Solve for x
    x = 5,565,670,771.03/83,886
  6. Step 6: Final answer
    x = 66,348.03

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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.