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Finding the Fourth Proportional to 201,647.80, 302,471.70 and 61,406.20

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Solution

The fourth proportional to 201,647.80, 302,471.70 and 61,406.20 is: 92,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,647.80 : 302,471.70 = 61,406.20 : x
  2. Step 2: Convert to fraction form
    201,647.80/302,471.70 = 61,406.20/x
  3. Step 3: Cross multiply
    201,647.80x = 302,471.70 × 61,406.20
  4. Step 4: Simplify right side
    201,647.80x = 18,573,637,704.54
  5. Step 5: Solve for x
    x = 18,573,637,704.54/201,647.80
  6. Step 6: Final answer
    x = 92,109.30

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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.