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Finding the Fourth Proportional to 128,175.08, 192,245.67 and 33,412.16

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Solution

The fourth proportional to 128,175.08, 192,245.67 and 33,412.16 is: 50,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,175.08 : 192,245.67 = 33,412.16 : x
  2. Step 2: Convert to fraction form
    128,175.08/192,245.67 = 33,412.16/x
  3. Step 3: Cross multiply
    128,175.08x = 192,245.67 × 33,412.16
  4. Step 4: Simplify right side
    128,175.08x = 6,423,343,565.96
  5. Step 5: Solve for x
    x = 6,423,343,565.96/128,175.08
  6. Step 6: Final answer
    x = 50,113.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.