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Finding the Fourth Proportional to 77,455.51, 116,181.82 and 21,295.38

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Solution

The fourth proportional to 77,455.51, 116,181.82 and 21,295.38 is: 31,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,455.51 : 116,181.82 = 21,295.38 : x
  2. Step 2: Convert to fraction form
    77,455.51/116,181.82 = 21,295.38/x
  3. Step 3: Cross multiply
    77,455.51x = 116,181.82 × 21,295.38
  4. Step 4: Simplify right side
    77,455.51x = 2,474,136,005.99
  5. Step 5: Solve for x
    x = 2,474,136,005.99/77,455.51
  6. Step 6: Final answer
    x = 31,942.67

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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.