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Finding the Fourth Proportional to 100,510.20, 150,635.70 and 47,806.20

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Solution

The fourth proportional to 100,510.20, 150,635.70 and 47,806.20 is: 71,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,510.20 : 150,635.70 = 47,806.20 : x
  2. Step 2: Convert to fraction form
    100,510.20/150,635.70 = 47,806.20/x
  3. Step 3: Cross multiply
    100,510.20x = 150,635.70 × 47,806.20
  4. Step 4: Simplify right side
    100,510.20x = 7,201,320,401.34
  5. Step 5: Solve for x
    x = 7,201,320,401.34/100,510.20
  6. Step 6: Final answer
    x = 71,647.66

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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.