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Finding the Fourth Proportional to 70,171.92, 105,294.33 and 53,638.20

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Solution

The fourth proportional to 70,171.92, 105,294.33 and 53,638.20 is: 80,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,171.92 : 105,294.33 = 53,638.20 : x
  2. Step 2: Convert to fraction form
    70,171.92/105,294.33 = 53,638.20/x
  3. Step 3: Cross multiply
    70,171.92x = 105,294.33 × 53,638.20
  4. Step 4: Simplify right side
    70,171.92x = 5,647,798,331.41
  5. Step 5: Solve for x
    x = 5,647,798,331.41/70,171.92
  6. Step 6: Final answer
    x = 80,485.16

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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.