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Finding the Fourth Proportional to 145,408.21, 218,112.33 and 45,568.39

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Solution

The fourth proportional to 145,408.21, 218,112.33 and 45,568.39 is: 68,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,408.21 : 218,112.33 = 45,568.39 : x
  2. Step 2: Convert to fraction form
    145,408.21/218,112.33 = 45,568.39/x
  3. Step 3: Cross multiply
    145,408.21x = 218,112.33 × 45,568.39
  4. Step 4: Simplify right side
    145,408.21x = 9,939,027,717.25
  5. Step 5: Solve for x
    x = 9,939,027,717.25/145,408.21
  6. Step 6: Final answer
    x = 68,352.59

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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.