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Finding the Fourth Proportional to 208,431.47, 287,734.61 and 139,639.38

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Solution

The fourth proportional to 208,431.47, 287,734.61 and 139,639.38 is: 192,768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,431.47 : 287,734.61 = 139,639.38 : x
  2. Step 2: Convert to fraction form
    208,431.47/287,734.61 = 139,639.38/x
  3. Step 3: Cross multiply
    208,431.47x = 287,734.61 × 139,639.38
  4. Step 4: Simplify right side
    208,431.47x = 40,179,081,846.74
  5. Step 5: Solve for x
    x = 40,179,081,846.74/208,431.47
  6. Step 6: Final answer
    x = 192,768.79

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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.