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Finding the Fourth Proportional to 157,408.22, 217,217.02 and 85,786.71

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Solution

The fourth proportional to 157,408.22, 217,217.02 and 85,786.71 is: 118,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,408.22 : 217,217.02 = 85,786.71 : x
  2. Step 2: Convert to fraction form
    157,408.22/217,217.02 = 85,786.71/x
  3. Step 3: Cross multiply
    157,408.22x = 217,217.02 × 85,786.71
  4. Step 4: Simplify right side
    157,408.22x = 18,634,332,415.72
  5. Step 5: Solve for x
    x = 18,634,332,415.72/157,408.22
  6. Step 6: Final answer
    x = 118,382.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.