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Finding the Fourth Proportional to 51,977.12, 77,964.60 and 20,804

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Solution

The fourth proportional to 51,977.12, 77,964.60 and 20,804 is: 31,205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,977.12 : 77,964.60 = 20,804 : x
  2. Step 2: Convert to fraction form
    51,977.12/77,964.60 = 20,804/x
  3. Step 3: Cross multiply
    51,977.12x = 77,964.60 × 20,804
  4. Step 4: Simplify right side
    51,977.12x = 1,621,975,538.40
  5. Step 5: Solve for x
    x = 1,621,975,538.40/51,977.12
  6. Step 6: Final answer
    x = 31,205.57

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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.