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Finding the Fourth Proportional to 128,019.40, 192,029.10 and 105,857.80

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Solution

The fourth proportional to 128,019.40, 192,029.10 and 105,857.80 is: 158,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,019.40 : 192,029.10 = 105,857.80 : x
  2. Step 2: Convert to fraction form
    128,019.40/192,029.10 = 105,857.80/x
  3. Step 3: Cross multiply
    128,019.40x = 192,029.10 × 105,857.80
  4. Step 4: Simplify right side
    128,019.40x = 20,327,778,061.98
  5. Step 5: Solve for x
    x = 20,327,778,061.98/128,019.40
  6. Step 6: Final answer
    x = 158,786.70

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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.