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Finding the Fourth Proportional to 208,436.92, 287,742.10 and 139,644.82

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Solution

The fourth proportional to 208,436.92, 287,742.10 and 139,644.82 is: 192,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,436.92 : 287,742.10 = 139,644.82 : x
  2. Step 2: Convert to fraction form
    208,436.92/287,742.10 = 139,644.82/x
  3. Step 3: Cross multiply
    208,436.92x = 287,742.10 × 139,644.82
  4. Step 4: Simplify right side
    208,436.92x = 40,181,693,760.92
  5. Step 5: Solve for x
    x = 40,181,693,760.92/208,436.92
  6. Step 6: Final answer
    x = 192,776.28

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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.