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Finding the Fourth Proportional to 78,107.80, 107,792.69 and 45,843.81

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Solution

The fourth proportional to 78,107.80, 107,792.69 and 45,843.81 is: 63,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,107.80 : 107,792.69 = 45,843.81 : x
  2. Step 2: Convert to fraction form
    78,107.80/107,792.69 = 45,843.81/x
  3. Step 3: Cross multiply
    78,107.80x = 107,792.69 × 45,843.81
  4. Step 4: Simplify right side
    78,107.80x = 4,941,627,370.53
  5. Step 5: Solve for x
    x = 4,941,627,370.53/78,107.80
  6. Step 6: Final answer
    x = 63,266.76

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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.