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Finding the Fourth Proportional to 77,309.48, 115,965.30 and 21,905.48

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Solution

The fourth proportional to 77,309.48, 115,965.30 and 21,905.48 is: 32,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,309.48 : 115,965.30 = 21,905.48 : x
  2. Step 2: Convert to fraction form
    77,309.48/115,965.30 = 21,905.48/x
  3. Step 3: Cross multiply
    77,309.48x = 115,965.30 × 21,905.48
  4. Step 4: Simplify right side
    77,309.48x = 2,540,275,559.84
  5. Step 5: Solve for x
    x = 2,540,275,559.84/77,309.48
  6. Step 6: Final answer
    x = 32,858.53

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1.5x scale

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.