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Finding the Fourth Proportional to 281,102.41, 421,792.12 and 131,353.05

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Solution

The fourth proportional to 281,102.41, 421,792.12 and 131,353.05 is: 197,094.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,102.41 : 421,792.12 = 131,353.05 : x
  2. Step 2: Convert to fraction form
    281,102.41/421,792.12 = 131,353.05/x
  3. Step 3: Cross multiply
    281,102.41x = 421,792.12 × 131,353.05
  4. Step 4: Simplify right side
    281,102.41x = 55,403,681,427.97
  5. Step 5: Solve for x
    x = 55,403,681,427.97/281,102.41
  6. Step 6: Final answer
    x = 197,094.30

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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.