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Finding the Fourth Proportional to 209,144, 313,539.60 and 90,726.20

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Solution

The fourth proportional to 209,144, 313,539.60 and 90,726.20 is: 136,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,144 : 313,539.60 = 90,726.20 : x
  2. Step 2: Convert to fraction form
    209,144/313,539.60 = 90,726.20/x
  3. Step 3: Cross multiply
    209,144x = 313,539.60 × 90,726.20
  4. Step 4: Simplify right side
    209,144x = 28,446,256,457.52
  5. Step 5: Solve for x
    x = 28,446,256,457.52/209,144
  6. Step 6: Final answer
    x = 136,012.78

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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.