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Finding the Fourth Proportional to 209,116.22, 313,498 and 90,698.40

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Solution

The fourth proportional to 209,116.22, 313,498 and 90,698.40 is: 135,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,116.22 : 313,498 = 90,698.40 : x
  2. Step 2: Convert to fraction form
    209,116.22/313,498 = 90,698.40/x
  3. Step 3: Cross multiply
    209,116.22x = 313,498 × 90,698.40
  4. Step 4: Simplify right side
    209,116.22x = 28,433,767,003.20
  5. Step 5: Solve for x
    x = 28,433,767,003.20/209,116.22
  6. Step 6: Final answer
    x = 135,971.12

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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.