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Finding the Fourth Proportional to 30,892.80, 46,436.40 and 30,309.60

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Solution

The fourth proportional to 30,892.80, 46,436.40 and 30,309.60 is: 45,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.80 : 46,436.40 = 30,309.60 : x
  2. Step 2: Convert to fraction form
    30,892.80/46,436.40 = 30,309.60/x
  3. Step 3: Cross multiply
    30,892.80x = 46,436.40 × 30,309.60
  4. Step 4: Simplify right side
    30,892.80x = 1,407,468,709.44
  5. Step 5: Solve for x
    x = 1,407,468,709.44/30,892.80
  6. Step 6: Final answer
    x = 45,559.77

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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.