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Finding the Fourth Proportional to 209,226, 313,662.10 and 90,808.32

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Solution

The fourth proportional to 209,226, 313,662.10 and 90,808.32 is: 136,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,226 : 313,662.10 = 90,808.32 : x
  2. Step 2: Convert to fraction form
    209,226/313,662.10 = 90,808.32/x
  3. Step 3: Cross multiply
    209,226x = 313,662.10 × 90,808.32
  4. Step 4: Simplify right side
    209,226x = 28,483,128,348.67
  5. Step 5: Solve for x
    x = 28,483,128,348.67/209,226
  6. Step 6: Final answer
    x = 136,135.70

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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.