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Finding the Fourth Proportional to 120,480.84, 180,705.84 and 31,741.20

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Solution

The fourth proportional to 120,480.84, 180,705.84 and 31,741.20 is: 47,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,480.84 : 180,705.84 = 31,741.20 : x
  2. Step 2: Convert to fraction form
    120,480.84/180,705.84 = 31,741.20/x
  3. Step 3: Cross multiply
    120,480.84x = 180,705.84 × 31,741.20
  4. Step 4: Simplify right side
    120,480.84x = 5,735,820,208.61
  5. Step 5: Solve for x
    x = 5,735,820,208.61/120,480.84
  6. Step 6: Final answer
    x = 47,607.74

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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.