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Finding the Fourth Proportional to 54,531.70, 81,809.70 and 21,248.80

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Solution

The fourth proportional to 54,531.70, 81,809.70 and 21,248.80 is: 31,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,531.70 : 81,809.70 = 21,248.80 : x
  2. Step 2: Convert to fraction form
    54,531.70/81,809.70 = 21,248.80/x
  3. Step 3: Cross multiply
    54,531.70x = 81,809.70 × 21,248.80
  4. Step 4: Simplify right side
    54,531.70x = 1,738,357,953.36
  5. Step 5: Solve for x
    x = 1,738,357,953.36/54,531.70
  6. Step 6: Final answer
    x = 31,877.93

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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.