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Finding the Fourth Proportional to 150,011.70, 206,918.60 and 96,211.50

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Solution

The fourth proportional to 150,011.70, 206,918.60 and 96,211.50 is: 132,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,011.70 : 206,918.60 = 96,211.50 : x
  2. Step 2: Convert to fraction form
    150,011.70/206,918.60 = 96,211.50/x
  3. Step 3: Cross multiply
    150,011.70x = 206,918.60 × 96,211.50
  4. Step 4: Simplify right side
    150,011.70x = 19,907,948,168.09
  5. Step 5: Solve for x
    x = 19,907,948,168.09/150,011.70
  6. Step 6: Final answer
    x = 132,709.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.