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Finding the Fourth Proportional to 209,321.60, 313,924.80 and 84,675.20

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Solution

The fourth proportional to 209,321.60, 313,924.80 and 84,675.20 is: 126,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,321.60 : 313,924.80 = 84,675.20 : x
  2. Step 2: Convert to fraction form
    209,321.60/313,924.80 = 84,675.20/x
  3. Step 3: Cross multiply
    209,321.60x = 313,924.80 × 84,675.20
  4. Step 4: Simplify right side
    209,321.60x = 26,581,645,224.96
  5. Step 5: Solve for x
    x = 26,581,645,224.96/209,321.60
  6. Step 6: Final answer
    x = 126,989.50

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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.