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Finding the Fourth Proportional to 49,257.32, 67,978.56 and 28,036.59

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Solution

The fourth proportional to 49,257.32, 67,978.56 and 28,036.59 is: 38,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,257.32 : 67,978.56 = 28,036.59 : x
  2. Step 2: Convert to fraction form
    49,257.32/67,978.56 = 28,036.59/x
  3. Step 3: Cross multiply
    49,257.32x = 67,978.56 × 28,036.59
  4. Step 4: Simplify right side
    49,257.32x = 1,905,887,015.51
  5. Step 5: Solve for x
    x = 1,905,887,015.51/49,257.32
  6. Step 6: Final answer
    x = 38,692.47

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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.