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Finding the Fourth Proportional to 209,198.77, 288,702.90 and 118,553.76

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Solution

The fourth proportional to 209,198.77, 288,702.90 and 118,553.76 is: 163,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,198.77 : 288,702.90 = 118,553.76 : x
  2. Step 2: Convert to fraction form
    209,198.77/288,702.90 = 118,553.76/x
  3. Step 3: Cross multiply
    209,198.77x = 288,702.90 × 118,553.76
  4. Step 4: Simplify right side
    209,198.77x = 34,226,814,317.90
  5. Step 5: Solve for x
    x = 34,226,814,317.90/209,198.77
  6. Step 6: Final answer
    x = 163,609.06

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1.5x scale

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.