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Finding the Fourth Proportional to 70,326, 105,483.51 and 30,883.44

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Solution

The fourth proportional to 70,326, 105,483.51 and 30,883.44 is: 46,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,326 : 105,483.51 = 30,883.44 : x
  2. Step 2: Convert to fraction form
    70,326/105,483.51 = 30,883.44/x
  3. Step 3: Cross multiply
    70,326x = 105,483.51 × 30,883.44
  4. Step 4: Simplify right side
    70,326x = 3,257,693,652.07
  5. Step 5: Solve for x
    x = 3,257,693,652.07/70,326
  6. Step 6: Final answer
    x = 46,322.75

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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.