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Finding the Fourth Proportional to 54,478.71, 81,686.39 and 21,159.77

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Solution

The fourth proportional to 54,478.71, 81,686.39 and 21,159.77 is: 31,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,478.71 : 81,686.39 = 21,159.77 : x
  2. Step 2: Convert to fraction form
    54,478.71/81,686.39 = 21,159.77/x
  3. Step 3: Cross multiply
    54,478.71x = 81,686.39 × 21,159.77
  4. Step 4: Simplify right side
    54,478.71x = 1,728,464,710.30
  5. Step 5: Solve for x
    x = 1,728,464,710.30/54,478.71
  6. Step 6: Final answer
    x = 31,727.34

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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.