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Finding the Fourth Proportional to 53,577.40, 80,355.84 and 18,509.80

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Solution

The fourth proportional to 53,577.40, 80,355.84 and 18,509.80 is: 27,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,577.40 : 80,355.84 = 18,509.80 : x
  2. Step 2: Convert to fraction form
    53,577.40/80,355.84 = 18,509.80/x
  3. Step 3: Cross multiply
    53,577.40x = 80,355.84 × 18,509.80
  4. Step 4: Simplify right side
    53,577.40x = 1,487,370,527.23
  5. Step 5: Solve for x
    x = 1,487,370,527.23/53,577.40
  6. Step 6: Final answer
    x = 27,761.16

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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.