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Finding the Fourth Proportional to 281,002.51, 421,072.84 and 190,930.51

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Solution

The fourth proportional to 281,002.51, 421,072.84 and 190,930.51 is: 286,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,002.51 : 421,072.84 = 190,930.51 : x
  2. Step 2: Convert to fraction form
    281,002.51/421,072.84 = 190,930.51/x
  3. Step 3: Cross multiply
    281,002.51x = 421,072.84 × 190,930.51
  4. Step 4: Simplify right side
    281,002.51x = 80,395,652,088.35
  5. Step 5: Solve for x
    x = 80,395,652,088.35/281,002.51
  6. Step 6: Final answer
    x = 286,102.97

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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.