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Finding the Fourth Proportional to 208,366.56, 287,545.23 and 117,722.49

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Solution

The fourth proportional to 208,366.56, 287,545.23 and 117,722.49 is: 162,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,366.56 : 287,545.23 = 117,722.49 : x
  2. Step 2: Convert to fraction form
    208,366.56/287,545.23 = 117,722.49/x
  3. Step 3: Cross multiply
    208,366.56x = 287,545.23 × 117,722.49
  4. Step 4: Simplify right side
    208,366.56x = 33,850,539,874.61
  5. Step 5: Solve for x
    x = 33,850,539,874.61/208,366.56
  6. Step 6: Final answer
    x = 162,456.68

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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.