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Finding the Fourth Proportional to 69,851.63, 96,408.54 and 39,639.77

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Solution

The fourth proportional to 69,851.63, 96,408.54 and 39,639.77 is: 54,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,851.63 : 96,408.54 = 39,639.77 : x
  2. Step 2: Convert to fraction form
    69,851.63/96,408.54 = 39,639.77/x
  3. Step 3: Cross multiply
    69,851.63x = 96,408.54 × 39,639.77
  4. Step 4: Simplify right side
    69,851.63x = 3,821,612,231.13
  5. Step 5: Solve for x
    x = 3,821,612,231.13/69,851.63
  6. Step 6: Final answer
    x = 54,710.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.