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Finding the Fourth Proportional to 208,299.60, 287,453.88 and 112,806

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Solution

The fourth proportional to 208,299.60, 287,453.88 and 112,806 is: 155,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,299.60 : 287,453.88 = 112,806 : x
  2. Step 2: Convert to fraction form
    208,299.60/287,453.88 = 112,806/x
  3. Step 3: Cross multiply
    208,299.60x = 287,453.88 × 112,806
  4. Step 4: Simplify right side
    208,299.60x = 32,426,522,387.28
  5. Step 5: Solve for x
    x = 32,426,522,387.28/208,299.60
  6. Step 6: Final answer
    x = 155,672.51

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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.