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Finding the Fourth Proportional to 100,500.51, 150,772.65 and 30,378

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Solution

The fourth proportional to 100,500.51, 150,772.65 and 30,378 is: 45,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,500.51 : 150,772.65 = 30,378 : x
  2. Step 2: Convert to fraction form
    100,500.51/150,772.65 = 30,378/x
  3. Step 3: Cross multiply
    100,500.51x = 150,772.65 × 30,378
  4. Step 4: Simplify right side
    100,500.51x = 4,580,171,561.70
  5. Step 5: Solve for x
    x = 4,580,171,561.70/100,500.51
  6. Step 6: Final answer
    x = 45,573.62

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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.