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Finding the Fourth Proportional to 208,653.96, 287,916.06 and 123,754.44

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Solution

The fourth proportional to 208,653.96, 287,916.06 and 123,754.44 is: 170,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,653.96 : 287,916.06 = 123,754.44 : x
  2. Step 2: Convert to fraction form
    208,653.96/287,916.06 = 123,754.44/x
  3. Step 3: Cross multiply
    208,653.96x = 287,916.06 × 123,754.44
  4. Step 4: Simplify right side
    208,653.96x = 35,630,890,772.31
  5. Step 5: Solve for x
    x = 35,630,890,772.31/208,653.96
  6. Step 6: Final answer
    x = 170,765.47

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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.