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Finding the Fourth Proportional to 80,833.48, 121,201.64 and 30,917.24

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Solution

The fourth proportional to 80,833.48, 121,201.64 and 30,917.24 is: 46,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,833.48 : 121,201.64 = 30,917.24 : x
  2. Step 2: Convert to fraction form
    80,833.48/121,201.64 = 30,917.24/x
  3. Step 3: Cross multiply
    80,833.48x = 121,201.64 × 30,917.24
  4. Step 4: Simplify right side
    80,833.48x = 3,747,220,192.27
  5. Step 5: Solve for x
    x = 3,747,220,192.27/80,833.48
  6. Step 6: Final answer
    x = 46,357.28

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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.