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Finding the Fourth Proportional to 78,162.03, 107,865.60 and 47,964.03

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Solution

The fourth proportional to 78,162.03, 107,865.60 and 47,964.03 is: 66,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,162.03 : 107,865.60 = 47,964.03 : x
  2. Step 2: Convert to fraction form
    78,162.03/107,865.60 = 47,964.03/x
  3. Step 3: Cross multiply
    78,162.03x = 107,865.60 × 47,964.03
  4. Step 4: Simplify right side
    78,162.03x = 5,173,668,874.37
  5. Step 5: Solve for x
    x = 5,173,668,874.37/78,162.03
  6. Step 6: Final answer
    x = 66,191.59

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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.