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Finding the Fourth Proportional to 100,420.16, 150,634.16 and 30,299.48

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Solution

The fourth proportional to 100,420.16, 150,634.16 and 30,299.48 is: 45,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,420.16 : 150,634.16 = 30,299.48 : x
  2. Step 2: Convert to fraction form
    100,420.16/150,634.16 = 30,299.48/x
  3. Step 3: Cross multiply
    100,420.16x = 150,634.16 × 30,299.48
  4. Step 4: Simplify right side
    100,420.16x = 4,564,136,718.24
  5. Step 5: Solve for x
    x = 4,564,136,718.24/100,420.16
  6. Step 6: Final answer
    x = 45,450.40

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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.