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Finding the Fourth Proportional to 207,854.36, 286,835 and 117,208.68

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Solution

The fourth proportional to 207,854.36, 286,835 and 117,208.68 is: 161,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,854.36 : 286,835 = 117,208.68 : x
  2. Step 2: Convert to fraction form
    207,854.36/286,835 = 117,208.68/x
  3. Step 3: Cross multiply
    207,854.36x = 286,835 × 117,208.68
  4. Step 4: Simplify right side
    207,854.36x = 33,619,551,727.80
  5. Step 5: Solve for x
    x = 33,619,551,727.80/207,854.36
  6. Step 6: Final answer
    x = 161,745.71

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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.