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Finding the Fourth Proportional to 128,766.33, 177,692.60 and 71,408.00

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Solution

The fourth proportional to 128,766.33, 177,692.60 and 71,408.00 is: 98,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,766.33 : 177,692.60 = 71,408.00 : x
  2. Step 2: Convert to fraction form
    128,766.33/177,692.60 = 71,408.00/x
  3. Step 3: Cross multiply
    128,766.33x = 177,692.60 × 71,408.00
  4. Step 4: Simplify right side
    128,766.33x = 12,688,673,803.55
  5. Step 5: Solve for x
    x = 12,688,673,803.55/128,766.33
  6. Step 6: Final answer
    x = 98,540.31

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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.