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Finding the Fourth Proportional to 100,522.89, 150,554.66 and 47,969.28

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Solution

The fourth proportional to 100,522.89, 150,554.66 and 47,969.28 is: 71,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,522.89 : 150,554.66 = 47,969.28 : x
  2. Step 2: Convert to fraction form
    100,522.89/150,554.66 = 47,969.28/x
  3. Step 3: Cross multiply
    100,522.89x = 150,554.66 × 47,969.28
  4. Step 4: Simplify right side
    100,522.89x = 7,221,998,401.00
  5. Step 5: Solve for x
    x = 7,221,998,401.00/100,522.89
  6. Step 6: Final answer
    x = 71,844.32

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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.