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Finding the Fourth Proportional to 208,433.92, 287,737.96 and 139,641.82

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Solution

The fourth proportional to 208,433.92, 287,737.96 and 139,641.82 is: 192,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,433.92 : 287,737.96 = 139,641.82 : x
  2. Step 2: Convert to fraction form
    208,433.92/287,737.96 = 139,641.82/x
  3. Step 3: Cross multiply
    208,433.92x = 287,737.96 × 139,641.82
  4. Step 4: Simplify right side
    208,433.92x = 40,180,252,417.49
  5. Step 5: Solve for x
    x = 40,180,252,417.49/208,433.92
  6. Step 6: Final answer
    x = 192,772.14

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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.