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Finding the Fourth Proportional to 121,511.87, 167,495.42 and 83,205.20

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Solution

The fourth proportional to 121,511.87, 167,495.42 and 83,205.20 is: 114,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,511.87 : 167,495.42 = 83,205.20 : x
  2. Step 2: Convert to fraction form
    121,511.87/167,495.42 = 83,205.20/x
  3. Step 3: Cross multiply
    121,511.87x = 167,495.42 × 83,205.20
  4. Step 4: Simplify right side
    121,511.87x = 13,936,489,841.84
  5. Step 5: Solve for x
    x = 13,936,489,841.84/121,511.87
  6. Step 6: Final answer
    x = 114,692.41

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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.