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Finding the Fourth Proportional to 76,378.56, 114,570.96 and 20,974.56

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Solution

The fourth proportional to 76,378.56, 114,570.96 and 20,974.56 is: 31,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,378.56 : 114,570.96 = 20,974.56 : x
  2. Step 2: Convert to fraction form
    76,378.56/114,570.96 = 20,974.56/x
  3. Step 3: Cross multiply
    76,378.56x = 114,570.96 × 20,974.56
  4. Step 4: Simplify right side
    76,378.56x = 2,403,075,474.78
  5. Step 5: Solve for x
    x = 2,403,075,474.78/76,378.56
  6. Step 6: Final answer
    x = 31,462.70

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1.5x scale

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.