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Finding the Fourth Proportional to 100,646.70, 150,960.30 and 30,526.62

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Solution

The fourth proportional to 100,646.70, 150,960.30 and 30,526.62 is: 45,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,646.70 : 150,960.30 = 30,526.62 : x
  2. Step 2: Convert to fraction form
    100,646.70/150,960.30 = 30,526.62/x
  3. Step 3: Cross multiply
    100,646.70x = 150,960.30 × 30,526.62
  4. Step 4: Simplify right side
    100,646.70x = 4,608,307,713.19
  5. Step 5: Solve for x
    x = 4,608,307,713.19/100,646.70
  6. Step 6: Final answer
    x = 45,786.97

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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.