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Finding the Fourth Proportional to 210,676.42, 315,950.37 and 110,782.42

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Solution

The fourth proportional to 210,676.42, 315,950.37 and 110,782.42 is: 166,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,676.42 : 315,950.37 = 110,782.42 : x
  2. Step 2: Convert to fraction form
    210,676.42/315,950.37 = 110,782.42/x
  3. Step 3: Cross multiply
    210,676.42x = 315,950.37 × 110,782.42
  4. Step 4: Simplify right side
    210,676.42x = 35,001,746,588.50
  5. Step 5: Solve for x
    x = 35,001,746,588.50/210,676.42
  6. Step 6: Final answer
    x = 166,139.84

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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.