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Finding the Fourth Proportional to 208,442.62, 287,651.82 and 112,949.29

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Solution

The fourth proportional to 208,442.62, 287,651.82 and 112,949.29 is: 155,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,442.62 : 287,651.82 = 112,949.29 : x
  2. Step 2: Convert to fraction form
    208,442.62/287,651.82 = 112,949.29/x
  3. Step 3: Cross multiply
    208,442.62x = 287,651.82 × 112,949.29
  4. Step 4: Simplify right side
    208,442.62x = 32,490,068,836.21
  5. Step 5: Solve for x
    x = 32,490,068,836.21/208,442.62
  6. Step 6: Final answer
    x = 155,870.56

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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.