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Finding the Fourth Proportional to 72,712.70, 109,075.26 and 20,122.10

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Solution

The fourth proportional to 72,712.70, 109,075.26 and 20,122.10 is: 30,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,712.70 : 109,075.26 = 20,122.10 : x
  2. Step 2: Convert to fraction form
    72,712.70/109,075.26 = 20,122.10/x
  3. Step 3: Cross multiply
    72,712.70x = 109,075.26 × 20,122.10
  4. Step 4: Simplify right side
    72,712.70x = 2,194,823,289.25
  5. Step 5: Solve for x
    x = 2,194,823,289.25/72,712.70
  6. Step 6: Final answer
    x = 30,184.87

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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.