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Finding the Fourth Proportional to 209,168.33, 313,619.45 and 96,698.21

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Solution

The fourth proportional to 209,168.33, 313,619.45 and 96,698.21 is: 144,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,168.33 : 313,619.45 = 96,698.21 : x
  2. Step 2: Convert to fraction form
    209,168.33/313,619.45 = 96,698.21/x
  3. Step 3: Cross multiply
    209,168.33x = 313,619.45 × 96,698.21
  4. Step 4: Simplify right side
    209,168.33x = 30,326,437,384.60
  5. Step 5: Solve for x
    x = 30,326,437,384.60/209,168.33
  6. Step 6: Final answer
    x = 144,985.80

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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.