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Finding the Fourth Proportional to 78,107.05, 107,791.65 and 45,843.06

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Solution

The fourth proportional to 78,107.05, 107,791.65 and 45,843.06 is: 63,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,107.05 : 107,791.65 = 45,843.06 : x
  2. Step 2: Convert to fraction form
    78,107.05/107,791.65 = 45,843.06/x
  3. Step 3: Cross multiply
    78,107.05x = 107,791.65 × 45,843.06
  4. Step 4: Simplify right side
    78,107.05x = 4,941,499,078.45
  5. Step 5: Solve for x
    x = 4,941,499,078.45/78,107.05
  6. Step 6: Final answer
    x = 63,265.73

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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.