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Finding the Fourth Proportional to 231,238.32, 346,855.68 and 118,950

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Solution

The fourth proportional to 231,238.32, 346,855.68 and 118,950 is: 178,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,238.32 : 346,855.68 = 118,950 : x
  2. Step 2: Convert to fraction form
    231,238.32/346,855.68 = 118,950/x
  3. Step 3: Cross multiply
    231,238.32x = 346,855.68 × 118,950
  4. Step 4: Simplify right side
    231,238.32x = 41,258,483,136
  5. Step 5: Solve for x
    x = 41,258,483,136/231,238.32
  6. Step 6: Final answer
    x = 178,424.07

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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.