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Finding the Fourth Proportional to 109,876.40, 164,814.60 and 39,739.31

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Solution

The fourth proportional to 109,876.40, 164,814.60 and 39,739.31 is: 59,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,876.40 : 164,814.60 = 39,739.31 : x
  2. Step 2: Convert to fraction form
    109,876.40/164,814.60 = 39,739.31/x
  3. Step 3: Cross multiply
    109,876.40x = 164,814.60 × 39,739.31
  4. Step 4: Simplify right side
    109,876.40x = 6,549,618,481.93
  5. Step 5: Solve for x
    x = 6,549,618,481.93/109,876.40
  6. Step 6: Final answer
    x = 59,608.97

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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.