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Finding the Fourth Proportional to 50,735, 70,014.54 and 28,379

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Solution

The fourth proportional to 50,735, 70,014.54 and 28,379 is: 39,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,735 : 70,014.54 = 28,379 : x
  2. Step 2: Convert to fraction form
    50,735/70,014.54 = 28,379/x
  3. Step 3: Cross multiply
    50,735x = 70,014.54 × 28,379
  4. Step 4: Simplify right side
    50,735x = 1,986,942,630.66
  5. Step 5: Solve for x
    x = 1,986,942,630.66/50,735
  6. Step 6: Final answer
    x = 39,163.15

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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.