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Finding the Fourth Proportional to 54,602.98, 81,855.70 and 21,315.29

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Solution

The fourth proportional to 54,602.98, 81,855.70 and 21,315.29 is: 31,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,602.98 : 81,855.70 = 21,315.29 : x
  2. Step 2: Convert to fraction form
    54,602.98/81,855.70 = 21,315.29/x
  3. Step 3: Cross multiply
    54,602.98x = 81,855.70 × 21,315.29
  4. Step 4: Simplify right side
    54,602.98x = 1,744,777,521.09
  5. Step 5: Solve for x
    x = 1,744,777,521.09/54,602.98
  6. Step 6: Final answer
    x = 31,953.89

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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.