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Finding the Fourth Proportional to 50,978.44, 70,347.87 and 28,318.90

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Solution

The fourth proportional to 50,978.44, 70,347.87 and 28,318.90 is: 39,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,978.44 : 70,347.87 = 28,318.90 : x
  2. Step 2: Convert to fraction form
    50,978.44/70,347.87 = 28,318.90/x
  3. Step 3: Cross multiply
    50,978.44x = 70,347.87 × 28,318.90
  4. Step 4: Simplify right side
    50,978.44x = 1,992,174,295.74
  5. Step 5: Solve for x
    x = 1,992,174,295.74/50,978.44
  6. Step 6: Final answer
    x = 39,078.76

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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.