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Finding the Fourth Proportional to 77,763.54, 116,785.83 and 71,512.02

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Solution

The fourth proportional to 77,763.54, 116,785.83 and 71,512.02 is: 107,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,763.54 : 116,785.83 = 71,512.02 : x
  2. Step 2: Convert to fraction form
    77,763.54/116,785.83 = 71,512.02/x
  3. Step 3: Cross multiply
    77,763.54x = 116,785.83 × 71,512.02
  4. Step 4: Simplify right side
    77,763.54x = 8,351,590,610.68
  5. Step 5: Solve for x
    x = 8,351,590,610.68/77,763.54
  6. Step 6: Final answer
    x = 107,397.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.