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Finding the Fourth Proportional to 208,432.47, 287,735.99 and 139,640.38

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Solution

The fourth proportional to 208,432.47, 287,735.99 and 139,640.38 is: 192,770.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,432.47 : 287,735.99 = 139,640.38 : x
  2. Step 2: Convert to fraction form
    208,432.47/287,735.99 = 139,640.38/x
  3. Step 3: Cross multiply
    208,432.47x = 287,735.99 × 139,640.38
  4. Step 4: Simplify right side
    208,432.47x = 40,179,562,983.28
  5. Step 5: Solve for x
    x = 40,179,562,983.28/208,432.47
  6. Step 6: Final answer
    x = 192,770.17

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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.