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Finding the Fourth Proportional to 281,894.21, 422,967.04 and 130,009.62

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Solution

The fourth proportional to 281,894.21, 422,967.04 and 130,009.62 is: 195,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,894.21 : 422,967.04 = 130,009.62 : x
  2. Step 2: Convert to fraction form
    281,894.21/422,967.04 = 130,009.62/x
  3. Step 3: Cross multiply
    281,894.21x = 422,967.04 × 130,009.62
  4. Step 4: Simplify right side
    281,894.21x = 54,989,784,142.92
  5. Step 5: Solve for x
    x = 54,989,784,142.92/281,894.21
  6. Step 6: Final answer
    x = 195,072.41

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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.