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Finding the Fourth Proportional to 49,876.64, 74,751.88 and 21,789.28

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Solution

The fourth proportional to 49,876.64, 74,751.88 and 21,789.28 is: 32,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,876.64 : 74,751.88 = 21,789.28 : x
  2. Step 2: Convert to fraction form
    49,876.64/74,751.88 = 21,789.28/x
  3. Step 3: Cross multiply
    49,876.64x = 74,751.88 × 21,789.28
  4. Step 4: Simplify right side
    49,876.64x = 1,628,789,643.85
  5. Step 5: Solve for x
    x = 1,628,789,643.85/49,876.64
  6. Step 6: Final answer
    x = 32,656.36

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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.