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Finding the Fourth Proportional to 70,494, 97,290.36 and 40,686

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Solution

The fourth proportional to 70,494, 97,290.36 and 40,686 is: 56,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,494 : 97,290.36 = 40,686 : x
  2. Step 2: Convert to fraction form
    70,494/97,290.36 = 40,686/x
  3. Step 3: Cross multiply
    70,494x = 97,290.36 × 40,686
  4. Step 4: Simplify right side
    70,494x = 3,958,355,586.96
  5. Step 5: Solve for x
    x = 3,958,355,586.96/70,494
  6. Step 6: Final answer
    x = 56,151.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.