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Finding the Fourth Proportional to 61,201.72, 91,783.14 and 19,639

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Solution

The fourth proportional to 61,201.72, 91,783.14 and 19,639 is: 29,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,201.72 : 91,783.14 = 19,639 : x
  2. Step 2: Convert to fraction form
    61,201.72/91,783.14 = 19,639/x
  3. Step 3: Cross multiply
    61,201.72x = 91,783.14 × 19,639
  4. Step 4: Simplify right side
    61,201.72x = 1,802,529,086.46
  5. Step 5: Solve for x
    x = 1,802,529,086.46/61,201.72
  6. Step 6: Final answer
    x = 29,452.26

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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.