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Finding the Fourth Proportional to 208,521.24, 287,759.03 and 113,027.91

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Solution

The fourth proportional to 208,521.24, 287,759.03 and 113,027.91 is: 155,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,521.24 : 287,759.03 = 113,027.91 : x
  2. Step 2: Convert to fraction form
    208,521.24/287,759.03 = 113,027.91/x
  3. Step 3: Cross multiply
    208,521.24x = 287,759.03 × 113,027.91
  4. Step 4: Simplify right side
    208,521.24x = 32,524,800,736.07
  5. Step 5: Solve for x
    x = 32,524,800,736.07/208,521.24
  6. Step 6: Final answer
    x = 155,978.36

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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.