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Finding the Fourth Proportional to 209,222, 313,656.10 and 90,804.32

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Solution

The fourth proportional to 209,222, 313,656.10 and 90,804.32 is: 136,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,222 : 313,656.10 = 90,804.32 : x
  2. Step 2: Convert to fraction form
    209,222/313,656.10 = 90,804.32/x
  3. Step 3: Cross multiply
    209,222x = 313,656.10 × 90,804.32
  4. Step 4: Simplify right side
    209,222x = 28,481,328,874.35
  5. Step 5: Solve for x
    x = 28,481,328,874.35/209,222
  6. Step 6: Final answer
    x = 136,129.70

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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.