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Finding the Fourth Proportional to 209,113.85, 313,494.44 and 90,696.00

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Solution

The fourth proportional to 209,113.85, 313,494.44 and 90,696.00 is: 135,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,113.85 : 313,494.44 = 90,696.00 : x
  2. Step 2: Convert to fraction form
    209,113.85/313,494.44 = 90,696.00/x
  3. Step 3: Cross multiply
    209,113.85x = 313,494.44 × 90,696.00
  4. Step 4: Simplify right side
    209,113.85x = 28,432,692,452.36
  5. Step 5: Solve for x
    x = 28,432,692,452.36/209,113.85
  6. Step 6: Final answer
    x = 135,967.52

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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.