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Finding the Fourth Proportional to 209,197.68, 313,620.20 and 90,779.84

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Solution

The fourth proportional to 209,197.68, 313,620.20 and 90,779.84 is: 136,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,197.68 : 313,620.20 = 90,779.84 : x
  2. Step 2: Convert to fraction form
    209,197.68/313,620.20 = 90,779.84/x
  3. Step 3: Cross multiply
    209,197.68x = 313,620.20 × 90,779.84
  4. Step 4: Simplify right side
    209,197.68x = 28,470,389,554.77
  5. Step 5: Solve for x
    x = 28,470,389,554.77/209,197.68
  6. Step 6: Final answer
    x = 136,093.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.