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Finding the Fourth Proportional to 140,749.82, 211,211.38 and 55,345.65

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Solution

The fourth proportional to 140,749.82, 211,211.38 and 55,345.65 is: 83,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,749.82 : 211,211.38 = 55,345.65 : x
  2. Step 2: Convert to fraction form
    140,749.82/211,211.38 = 55,345.65/x
  3. Step 3: Cross multiply
    140,749.82x = 211,211.38 × 55,345.65
  4. Step 4: Simplify right side
    140,749.82x = 11,689,630,057.44
  5. Step 5: Solve for x
    x = 11,689,630,057.44/140,749.82
  6. Step 6: Final answer
    x = 83,052.54

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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.