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Finding the Fourth Proportional to 208,311.31, 287,469.84 and 112,818.12

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Solution

The fourth proportional to 208,311.31, 287,469.84 and 112,818.12 is: 155,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,311.31 : 287,469.84 = 112,818.12 : x
  2. Step 2: Convert to fraction form
    208,311.31/287,469.84 = 112,818.12/x
  3. Step 3: Cross multiply
    208,311.31x = 287,469.84 × 112,818.12
  4. Step 4: Simplify right side
    208,311.31x = 32,431,806,905.50
  5. Step 5: Solve for x
    x = 32,431,806,905.50/208,311.31
  6. Step 6: Final answer
    x = 155,689.13

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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.