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Finding the Fourth Proportional to 159,712.39, 220,200.74 and 105,256.09

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Solution

The fourth proportional to 159,712.39, 220,200.74 and 105,256.09 is: 145,120.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,712.39 : 220,200.74 = 105,256.09 : x
  2. Step 2: Convert to fraction form
    159,712.39/220,200.74 = 105,256.09/x
  3. Step 3: Cross multiply
    159,712.39x = 220,200.74 × 105,256.09
  4. Step 4: Simplify right side
    159,712.39x = 23,177,467,806.50
  5. Step 5: Solve for x
    x = 23,177,467,806.50/159,712.39
  6. Step 6: Final answer
    x = 145,120.04

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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.