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Finding the Fourth Proportional to 51,326, 70,829.88 and 28,971.44

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Solution

The fourth proportional to 51,326, 70,829.88 and 28,971.44 is: 39,980.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,326 : 70,829.88 = 28,971.44 : x
  2. Step 2: Convert to fraction form
    51,326/70,829.88 = 28,971.44/x
  3. Step 3: Cross multiply
    51,326x = 70,829.88 × 28,971.44
  4. Step 4: Simplify right side
    51,326x = 2,052,043,618.63
  5. Step 5: Solve for x
    x = 2,052,043,618.63/51,326
  6. Step 6: Final answer
    x = 39,980.59

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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.