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Finding the Fourth Proportional to 70,297.56, 105,372.90 and 30,821.40

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Solution

The fourth proportional to 70,297.56, 105,372.90 and 30,821.40 is: 46,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,297.56 : 105,372.90 = 30,821.40 : x
  2. Step 2: Convert to fraction form
    70,297.56/105,372.90 = 30,821.40/x
  3. Step 3: Cross multiply
    70,297.56x = 105,372.90 × 30,821.40
  4. Step 4: Simplify right side
    70,297.56x = 3,247,740,300.06
  5. Step 5: Solve for x
    x = 3,247,740,300.06/70,297.56
  6. Step 6: Final answer
    x = 46,199.90

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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.