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Finding the Fourth Proportional to 100,521.63, 150,782.54 and 30,401.01

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Solution

The fourth proportional to 100,521.63, 150,782.54 and 30,401.01 is: 45,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,521.63 : 150,782.54 = 30,401.01 : x
  2. Step 2: Convert to fraction form
    100,521.63/150,782.54 = 30,401.01/x
  3. Step 3: Cross multiply
    100,521.63x = 150,782.54 × 30,401.01
  4. Step 4: Simplify right side
    100,521.63x = 4,583,941,354.36
  5. Step 5: Solve for x
    x = 4,583,941,354.36/100,521.63
  6. Step 6: Final answer
    x = 45,601.54

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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.