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Finding the Fourth Proportional to 54,242.94, 81,301.95 and 20,948.34

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Solution

The fourth proportional to 54,242.94, 81,301.95 and 20,948.34 is: 31,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,242.94 : 81,301.95 = 20,948.34 : x
  2. Step 2: Convert to fraction form
    54,242.94/81,301.95 = 20,948.34/x
  3. Step 3: Cross multiply
    54,242.94x = 81,301.95 × 20,948.34
  4. Step 4: Simplify right side
    54,242.94x = 1,703,140,891.26
  5. Step 5: Solve for x
    x = 1,703,140,891.26/54,242.94
  6. Step 6: Final answer
    x = 31,398.39

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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.