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Finding the Fourth Proportional to 70,850.64, 97,774 and 39,019.62

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Solution

The fourth proportional to 70,850.64, 97,774 and 39,019.62 is: 53,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,850.64 : 97,774 = 39,019.62 : x
  2. Step 2: Convert to fraction form
    70,850.64/97,774 = 39,019.62/x
  3. Step 3: Cross multiply
    70,850.64x = 97,774 × 39,019.62
  4. Step 4: Simplify right side
    70,850.64x = 3,815,104,325.88
  5. Step 5: Solve for x
    x = 3,815,104,325.88/70,850.64
  6. Step 6: Final answer
    x = 53,847.14

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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.