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Finding the Fourth Proportional to 180,563.10, 271,427.85 and 128,334.30

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Solution

The fourth proportional to 180,563.10, 271,427.85 and 128,334.30 is: 192,915.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,563.10 : 271,427.85 = 128,334.30 : x
  2. Step 2: Convert to fraction form
    180,563.10/271,427.85 = 128,334.30/x
  3. Step 3: Cross multiply
    180,563.10x = 271,427.85 × 128,334.30
  4. Step 4: Simplify right side
    180,563.10x = 34,833,503,130.26
  5. Step 5: Solve for x
    x = 34,833,503,130.26/180,563.10
  6. Step 6: Final answer
    x = 192,915.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.