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Finding the Fourth Proportional to 128,105.46, 192,054.34 and 53,281.60

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Solution

The fourth proportional to 128,105.46, 192,054.34 and 53,281.60 is: 79,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,105.46 : 192,054.34 = 53,281.60 : x
  2. Step 2: Convert to fraction form
    128,105.46/192,054.34 = 53,281.60/x
  3. Step 3: Cross multiply
    128,105.46x = 192,054.34 × 53,281.60
  4. Step 4: Simplify right side
    128,105.46x = 10,232,962,522.14
  5. Step 5: Solve for x
    x = 10,232,962,522.14/128,105.46
  6. Step 6: Final answer
    x = 79,879.21

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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.