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Finding the Fourth Proportional to 70,148.57, 105,222.81 and 17,558.02

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Solution

The fourth proportional to 70,148.57, 105,222.81 and 17,558.02 is: 26,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,148.57 : 105,222.81 = 17,558.02 : x
  2. Step 2: Convert to fraction form
    70,148.57/105,222.81 = 17,558.02/x
  3. Step 3: Cross multiply
    70,148.57x = 105,222.81 × 17,558.02
  4. Step 4: Simplify right side
    70,148.57x = 1,847,504,202.44
  5. Step 5: Solve for x
    x = 1,847,504,202.44/70,148.57
  6. Step 6: Final answer
    x = 26,337.02

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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.