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Finding the Fourth Proportional to 281,098.66, 421,704.42 and 103,606.60

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Solution

The fourth proportional to 281,098.66, 421,704.42 and 103,606.60 is: 155,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,098.66 : 421,704.42 = 103,606.60 : x
  2. Step 2: Convert to fraction form
    281,098.66/421,704.42 = 103,606.60/x
  3. Step 3: Cross multiply
    281,098.66x = 421,704.42 × 103,606.60
  4. Step 4: Simplify right side
    281,098.66x = 43,691,361,161.17
  5. Step 5: Solve for x
    x = 43,691,361,161.17/281,098.66
  6. Step 6: Final answer
    x = 155,430.70

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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.