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Finding the Fourth Proportional to 54,256, 81,384.48 and 19,201.60

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Solution

The fourth proportional to 54,256, 81,384.48 and 19,201.60 is: 28,802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,256 : 81,384.48 = 19,201.60 : x
  2. Step 2: Convert to fraction form
    54,256/81,384.48 = 19,201.60/x
  3. Step 3: Cross multiply
    54,256x = 81,384.48 × 19,201.60
  4. Step 4: Simplify right side
    54,256x = 1,562,712,231.17
  5. Step 5: Solve for x
    x = 1,562,712,231.17/54,256
  6. Step 6: Final answer
    x = 28,802.57

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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.