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Finding the Fourth Proportional to 70,383.77, 105,582.53 and 20,464.25

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Solution

The fourth proportional to 70,383.77, 105,582.53 and 20,464.25 is: 30,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,383.77 : 105,582.53 = 20,464.25 : x
  2. Step 2: Convert to fraction form
    70,383.77/105,582.53 = 20,464.25/x
  3. Step 3: Cross multiply
    70,383.77x = 105,582.53 × 20,464.25
  4. Step 4: Simplify right side
    70,383.77x = 2,160,667,187.23
  5. Step 5: Solve for x
    x = 2,160,667,187.23/70,383.77
  6. Step 6: Final answer
    x = 30,698.37

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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.