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Finding the Fourth Proportional to 206,069.94, 308,572.56 and 142,225.13

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Solution

The fourth proportional to 206,069.94, 308,572.56 and 142,225.13 is: 212,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,069.94 : 308,572.56 = 142,225.13 : x
  2. Step 2: Convert to fraction form
    206,069.94/308,572.56 = 142,225.13/x
  3. Step 3: Cross multiply
    206,069.94x = 308,572.56 × 142,225.13
  4. Step 4: Simplify right side
    206,069.94x = 43,886,770,917.57
  5. Step 5: Solve for x
    x = 43,886,770,917.57/206,069.94
  6. Step 6: Final answer
    x = 212,970.27

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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.