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Finding the Fourth Proportional to 100,038.69, 150,100.16 and 43,849.80

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Solution

The fourth proportional to 100,038.69, 150,100.16 and 43,849.80 is: 65,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,038.69 : 150,100.16 = 43,849.80 : x
  2. Step 2: Convert to fraction form
    100,038.69/150,100.16 = 43,849.80/x
  3. Step 3: Cross multiply
    100,038.69x = 150,100.16 × 43,849.80
  4. Step 4: Simplify right side
    100,038.69x = 6,581,861,776.72
  5. Step 5: Solve for x
    x = 6,581,861,776.72/100,038.69
  6. Step 6: Final answer
    x = 65,793.16

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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.