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Finding the Fourth Proportional to 72,697.87, 109,038.36 and 20,111.45

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Solution

The fourth proportional to 72,697.87, 109,038.36 and 20,111.45 is: 30,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,697.87 : 109,038.36 = 20,111.45 : x
  2. Step 2: Convert to fraction form
    72,697.87/109,038.36 = 20,111.45/x
  3. Step 3: Cross multiply
    72,697.87x = 109,038.36 × 20,111.45
  4. Step 4: Simplify right side
    72,697.87x = 2,192,919,525.22
  5. Step 5: Solve for x
    x = 2,192,919,525.22/72,697.87
  6. Step 6: Final answer
    x = 30,164.84

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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.