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Finding the Fourth Proportional to 208,563, 287,815.23 and 113,067.24

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Solution

The fourth proportional to 208,563, 287,815.23 and 113,067.24 is: 156,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,563 : 287,815.23 = 113,067.24 : x
  2. Step 2: Convert to fraction form
    208,563/287,815.23 = 113,067.24/x
  3. Step 3: Cross multiply
    208,563x = 287,815.23 × 113,067.24
  4. Step 4: Simplify right side
    208,563x = 32,542,473,686.07
  5. Step 5: Solve for x
    x = 32,542,473,686.07/208,563
  6. Step 6: Final answer
    x = 156,031.86

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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.