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Finding the Fourth Proportional to 128,240.25, 192,256.61 and 53,416.61

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Solution

The fourth proportional to 128,240.25, 192,256.61 and 53,416.61 is: 80,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,240.25 : 192,256.61 = 53,416.61 : x
  2. Step 2: Convert to fraction form
    128,240.25/192,256.61 = 53,416.61/x
  3. Step 3: Cross multiply
    128,240.25x = 192,256.61 × 53,416.61
  4. Step 4: Simplify right side
    128,240.25x = 10,269,695,127.93
  5. Step 5: Solve for x
    x = 10,269,695,127.93/128,240.25
  6. Step 6: Final answer
    x = 80,081.68

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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.