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Finding the Fourth Proportional to 53,409.80, 80,090.40 and 28,443.44

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Solution

The fourth proportional to 53,409.80, 80,090.40 and 28,443.44 is: 42,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,409.80 : 80,090.40 = 28,443.44 : x
  2. Step 2: Convert to fraction form
    53,409.80/80,090.40 = 28,443.44/x
  3. Step 3: Cross multiply
    53,409.80x = 80,090.40 × 28,443.44
  4. Step 4: Simplify right side
    53,409.80x = 2,278,046,486.98
  5. Step 5: Solve for x
    x = 2,278,046,486.98/53,409.80
  6. Step 6: Final answer
    x = 42,652.22

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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.