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Finding the Fourth Proportional to 208,310.31, 287,468.46 and 112,817.12

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Solution

The fourth proportional to 208,310.31, 287,468.46 and 112,817.12 is: 155,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,310.31 : 287,468.46 = 112,817.12 : x
  2. Step 2: Convert to fraction form
    208,310.31/287,468.46 = 112,817.12/x
  3. Step 3: Cross multiply
    208,310.31x = 287,468.46 × 112,817.12
  4. Step 4: Simplify right side
    208,310.31x = 32,431,362,310.69
  5. Step 5: Solve for x
    x = 32,431,362,310.69/208,310.31
  6. Step 6: Final answer
    x = 155,687.74

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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.