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Finding the Fourth Proportional to 34,148.40, 51,190.20 and 30,649.20

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Solution

The fourth proportional to 34,148.40, 51,190.20 and 30,649.20 is: 45,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,148.40 : 51,190.20 = 30,649.20 : x
  2. Step 2: Convert to fraction form
    34,148.40/51,190.20 = 30,649.20/x
  3. Step 3: Cross multiply
    34,148.40x = 51,190.20 × 30,649.20
  4. Step 4: Simplify right side
    34,148.40x = 1,568,938,677.84
  5. Step 5: Solve for x
    x = 1,568,938,677.84/34,148.40
  6. Step 6: Final answer
    x = 45,944.72

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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.