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Finding the Fourth Proportional to 70,858.11, 97,779.69 and 39,027

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Solution

The fourth proportional to 70,858.11, 97,779.69 and 39,027 is: 53,854.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,858.11 : 97,779.69 = 39,027 : x
  2. Step 2: Convert to fraction form
    70,858.11/97,779.69 = 39,027/x
  3. Step 3: Cross multiply
    70,858.11x = 97,779.69 × 39,027
  4. Step 4: Simplify right side
    70,858.11x = 3,816,048,059.20
  5. Step 5: Solve for x
    x = 3,816,048,059.20/70,858.11
  6. Step 6: Final answer
    x = 53,854.79

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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.