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Finding the Fourth Proportional to 54,415.80, 81,602.10 and 19,337.40

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Solution

The fourth proportional to 54,415.80, 81,602.10 and 19,337.40 is: 28,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,415.80 : 81,602.10 = 19,337.40 : x
  2. Step 2: Convert to fraction form
    54,415.80/81,602.10 = 19,337.40/x
  3. Step 3: Cross multiply
    54,415.80x = 81,602.10 × 19,337.40
  4. Step 4: Simplify right side
    54,415.80x = 1,577,972,448.54
  5. Step 5: Solve for x
    x = 1,577,972,448.54/54,415.80
  6. Step 6: Final answer
    x = 28,998.42

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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.