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Finding the Fourth Proportional to 101,785.80, 140,465.18 and 55,845.13

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Solution

The fourth proportional to 101,785.80, 140,465.18 and 55,845.13 is: 77,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,785.80 : 140,465.18 = 55,845.13 : x
  2. Step 2: Convert to fraction form
    101,785.80/140,465.18 = 55,845.13/x
  3. Step 3: Cross multiply
    101,785.80x = 140,465.18 × 55,845.13
  4. Step 4: Simplify right side
    101,785.80x = 7,844,296,237.57
  5. Step 5: Solve for x
    x = 7,844,296,237.57/101,785.80
  6. Step 6: Final answer
    x = 77,066.71

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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.