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Finding the Fourth Proportional to 46,510.90, 69,764.77 and 20,215.64

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Solution

The fourth proportional to 46,510.90, 69,764.77 and 20,215.64 is: 30,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,510.90 : 69,764.77 = 20,215.64 : x
  2. Step 2: Convert to fraction form
    46,510.90/69,764.77 = 20,215.64/x
  3. Step 3: Cross multiply
    46,510.90x = 69,764.77 × 20,215.64
  4. Step 4: Simplify right side
    46,510.90x = 1,410,339,475.00
  5. Step 5: Solve for x
    x = 1,410,339,475.00/46,510.90
  6. Step 6: Final answer
    x = 30,322.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.