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Finding the Fourth Proportional to 281,099.97, 421,788.47 and 131,350.61

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Solution

The fourth proportional to 281,099.97, 421,788.47 and 131,350.61 is: 197,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,099.97 : 421,788.47 = 131,350.61 : x
  2. Step 2: Convert to fraction form
    281,099.97/421,788.47 = 131,350.61/x
  3. Step 3: Cross multiply
    281,099.97x = 421,788.47 × 131,350.61
  4. Step 4: Simplify right side
    281,099.97x = 55,402,173,223.18
  5. Step 5: Solve for x
    x = 55,402,173,223.18/281,099.97
  6. Step 6: Final answer
    x = 197,090.64

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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.