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Finding the Fourth Proportional to 209,782.92, 314,772.80 and 104,610.09

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Solution

The fourth proportional to 209,782.92, 314,772.80 and 104,610.09 is: 156,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,782.92 : 314,772.80 = 104,610.09 : x
  2. Step 2: Convert to fraction form
    209,782.92/314,772.80 = 104,610.09/x
  3. Step 3: Cross multiply
    209,782.92x = 314,772.80 × 104,610.09
  4. Step 4: Simplify right side
    209,782.92x = 32,928,410,414.50
  5. Step 5: Solve for x
    x = 32,928,410,414.50/209,782.92
  6. Step 6: Final answer
    x = 156,964.21

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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.