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Finding the Fourth Proportional to 100,401.70, 150,528.74 and 47,848.09

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Solution

The fourth proportional to 100,401.70, 150,528.74 and 47,848.09 is: 71,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,401.70 : 150,528.74 = 47,848.09 : x
  2. Step 2: Convert to fraction form
    100,401.70/150,528.74 = 47,848.09/x
  3. Step 3: Cross multiply
    100,401.70x = 150,528.74 × 47,848.09
  4. Step 4: Simplify right side
    100,401.70x = 7,202,512,699.11
  5. Step 5: Solve for x
    x = 7,202,512,699.11/100,401.70
  6. Step 6: Final answer
    x = 71,736.96

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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.