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Finding the Fourth Proportional to 208,563.86, 287,832.87 and 117,920.70

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Solution

The fourth proportional to 208,563.86, 287,832.87 and 117,920.70 is: 162,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,563.86 : 287,832.87 = 117,920.70 : x
  2. Step 2: Convert to fraction form
    208,563.86/287,832.87 = 117,920.70/x
  3. Step 3: Cross multiply
    208,563.86x = 287,832.87 × 117,920.70
  4. Step 4: Simplify right side
    208,563.86x = 33,941,453,513.41
  5. Step 5: Solve for x
    x = 33,941,453,513.41/208,563.86
  6. Step 6: Final answer
    x = 162,738.91

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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.