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Finding the Fourth Proportional to 121,649, 167,949.74 and 83,471.27

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Solution

The fourth proportional to 121,649, 167,949.74 and 83,471.27 is: 115,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,649 : 167,949.74 = 83,471.27 : x
  2. Step 2: Convert to fraction form
    121,649/167,949.74 = 83,471.27/x
  3. Step 3: Cross multiply
    121,649x = 167,949.74 × 83,471.27
  4. Step 4: Simplify right side
    121,649x = 14,018,977,676.61
  5. Step 5: Solve for x
    x = 14,018,977,676.61/121,649
  6. Step 6: Final answer
    x = 115,241.21

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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.