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Finding the Fourth Proportional to 30,696.40, 46,071.60 and 18,200.80

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Solution

The fourth proportional to 30,696.40, 46,071.60 and 18,200.80 is: 27,317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696.40 : 46,071.60 = 18,200.80 : x
  2. Step 2: Convert to fraction form
    30,696.40/46,071.60 = 18,200.80/x
  3. Step 3: Cross multiply
    30,696.40x = 46,071.60 × 18,200.80
  4. Step 4: Simplify right side
    30,696.40x = 838,539,977.28
  5. Step 5: Solve for x
    x = 838,539,977.28/30,696.40
  6. Step 6: Final answer
    x = 27,317.21

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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.