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Finding the Fourth Proportional to 208,247.94, 287,380.80 and 112,754.43

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Solution

The fourth proportional to 208,247.94, 287,380.80 and 112,754.43 is: 155,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,247.94 : 287,380.80 = 112,754.43 : x
  2. Step 2: Convert to fraction form
    208,247.94/287,380.80 = 112,754.43/x
  3. Step 3: Cross multiply
    208,247.94x = 287,380.80 × 112,754.43
  4. Step 4: Simplify right side
    208,247.94x = 32,403,458,296.94
  5. Step 5: Solve for x
    x = 32,403,458,296.94/208,247.94
  6. Step 6: Final answer
    x = 155,600.38

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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.