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Finding the Fourth Proportional to 128,314.56, 192,504.67 and 53,409.80

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Solution

The fourth proportional to 128,314.56, 192,504.67 and 53,409.80 is: 80,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,314.56 : 192,504.67 = 53,409.80 : x
  2. Step 2: Convert to fraction form
    128,314.56/192,504.67 = 53,409.80/x
  3. Step 3: Cross multiply
    128,314.56x = 192,504.67 × 53,409.80
  4. Step 4: Simplify right side
    128,314.56x = 10,281,635,923.77
  5. Step 5: Solve for x
    x = 10,281,635,923.77/128,314.56
  6. Step 6: Final answer
    x = 80,128.37

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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.