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Finding the Fourth Proportional to 72,665.85, 109,005.11 and 20,075.39

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Solution

The fourth proportional to 72,665.85, 109,005.11 and 20,075.39 is: 30,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,665.85 : 109,005.11 = 20,075.39 : x
  2. Step 2: Convert to fraction form
    72,665.85/109,005.11 = 20,075.39/x
  3. Step 3: Cross multiply
    72,665.85x = 109,005.11 × 20,075.39
  4. Step 4: Simplify right side
    72,665.85x = 2,188,320,095.24
  5. Step 5: Solve for x
    x = 2,188,320,095.24/72,665.85
  6. Step 6: Final answer
    x = 30,114.84

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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.