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Finding the Fourth Proportional to 71,314.40, 106,971.60 and 34,450.40

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Solution

The fourth proportional to 71,314.40, 106,971.60 and 34,450.40 is: 51,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,314.40 : 106,971.60 = 34,450.40 : x
  2. Step 2: Convert to fraction form
    71,314.40/106,971.60 = 34,450.40/x
  3. Step 3: Cross multiply
    71,314.40x = 106,971.60 × 34,450.40
  4. Step 4: Simplify right side
    71,314.40x = 3,685,214,408.64
  5. Step 5: Solve for x
    x = 3,685,214,408.64/71,314.40
  6. Step 6: Final answer
    x = 51,675.60

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1.5x scale

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.