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Finding the Fourth Proportional to 54,316.80, 81,415.80 and 19,238.40

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Solution

The fourth proportional to 54,316.80, 81,415.80 and 19,238.40 is: 28,836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,316.80 : 81,415.80 = 19,238.40 : x
  2. Step 2: Convert to fraction form
    54,316.80/81,415.80 = 19,238.40/x
  3. Step 3: Cross multiply
    54,316.80x = 81,415.80 × 19,238.40
  4. Step 4: Simplify right side
    54,316.80x = 1,566,309,726.72
  5. Step 5: Solve for x
    x = 1,566,309,726.72/54,316.80
  6. Step 6: Final answer
    x = 28,836.56

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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.