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Finding the Fourth Proportional to 57,047.40, 85,605.03 and 30,412.98

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Solution

The fourth proportional to 57,047.40, 85,605.03 and 30,412.98 is: 45,637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,047.40 : 85,605.03 = 30,412.98 : x
  2. Step 2: Convert to fraction form
    57,047.40/85,605.03 = 30,412.98/x
  3. Step 3: Cross multiply
    57,047.40x = 85,605.03 × 30,412.98
  4. Step 4: Simplify right side
    57,047.40x = 2,603,504,065.29
  5. Step 5: Solve for x
    x = 2,603,504,065.29/57,047.40
  6. Step 6: Final answer
    x = 45,637.56

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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.