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Finding the Fourth Proportional to 54,323.25, 81,437.78 and 21,020.40

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Solution

The fourth proportional to 54,323.25, 81,437.78 and 21,020.40 is: 31,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,323.25 : 81,437.78 = 21,020.40 : x
  2. Step 2: Convert to fraction form
    54,323.25/81,437.78 = 21,020.40/x
  3. Step 3: Cross multiply
    54,323.25x = 81,437.78 × 21,020.40
  4. Step 4: Simplify right side
    54,323.25x = 1,711,854,710.71
  5. Step 5: Solve for x
    x = 1,711,854,710.71/54,323.25
  6. Step 6: Final answer
    x = 31,512.38

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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.