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Finding the Fourth Proportional to 209,215, 313,645.60 and 90,797.32

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Solution

The fourth proportional to 209,215, 313,645.60 and 90,797.32 is: 136,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,215 : 313,645.60 = 90,797.32 : x
  2. Step 2: Convert to fraction form
    209,215/313,645.60 = 90,797.32/x
  3. Step 3: Cross multiply
    209,215x = 313,645.60 × 90,797.32
  4. Step 4: Simplify right side
    209,215x = 28,478,179,909.79
  5. Step 5: Solve for x
    x = 28,478,179,909.79/209,215
  6. Step 6: Final answer
    x = 136,119.21

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1.5x scale

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.