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Finding the Fourth Proportional to 208,067.56, 287,112.42 and 117,415.40

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Solution

The fourth proportional to 208,067.56, 287,112.42 and 117,415.40 is: 162,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,067.56 : 287,112.42 = 117,415.40 : x
  2. Step 2: Convert to fraction form
    208,067.56/287,112.42 = 117,415.40/x
  3. Step 3: Cross multiply
    208,067.56x = 287,112.42 × 117,415.40
  4. Step 4: Simplify right side
    208,067.56x = 33,711,419,639.27
  5. Step 5: Solve for x
    x = 33,711,419,639.27/208,067.56
  6. Step 6: Final answer
    x = 162,021.51

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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.