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Finding the Fourth Proportional to 72,783.47, 109,175.26 and 20,193.01

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Solution

The fourth proportional to 72,783.47, 109,175.26 and 20,193.01 is: 30,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,783.47 : 109,175.26 = 20,193.01 : x
  2. Step 2: Convert to fraction form
    72,783.47/109,175.26 = 20,193.01/x
  3. Step 3: Cross multiply
    72,783.47x = 109,175.26 × 20,193.01
  4. Step 4: Simplify right side
    72,783.47x = 2,204,576,793.51
  5. Step 5: Solve for x
    x = 2,204,576,793.51/72,783.47
  6. Step 6: Final answer
    x = 30,289.52

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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.