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Finding the Fourth Proportional to 209,199.40, 288,695.54 and 113,705.84

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Solution

The fourth proportional to 209,199.40, 288,695.54 and 113,705.84 is: 156,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,199.40 : 288,695.54 = 113,705.84 : x
  2. Step 2: Convert to fraction form
    209,199.40/288,695.54 = 113,705.84/x
  3. Step 3: Cross multiply
    209,199.40x = 288,695.54 × 113,705.84
  4. Step 4: Simplify right side
    209,199.40x = 32,826,368,879.95
  5. Step 5: Solve for x
    x = 32,826,368,879.95/209,199.40
  6. Step 6: Final answer
    x = 156,914.26

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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.