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Finding the Fourth Proportional to 46,485.16, 69,731.79 and 13,205.50

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Solution

The fourth proportional to 46,485.16, 69,731.79 and 13,205.50 is: 19,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,485.16 : 69,731.79 = 13,205.50 : x
  2. Step 2: Convert to fraction form
    46,485.16/69,731.79 = 13,205.50/x
  3. Step 3: Cross multiply
    46,485.16x = 69,731.79 × 13,205.50
  4. Step 4: Simplify right side
    46,485.16x = 920,843,152.85
  5. Step 5: Solve for x
    x = 920,843,152.85/46,485.16
  6. Step 6: Final answer
    x = 19,809.40

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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.