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Finding the Fourth Proportional to 54,462.65, 81,699.01 and 21,185.24

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Solution

The fourth proportional to 54,462.65, 81,699.01 and 21,185.24 is: 31,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,462.65 : 81,699.01 = 21,185.24 : x
  2. Step 2: Convert to fraction form
    54,462.65/81,699.01 = 21,185.24/x
  3. Step 3: Cross multiply
    54,462.65x = 81,699.01 × 21,185.24
  4. Step 4: Simplify right side
    54,462.65x = 1,730,813,134.61
  5. Step 5: Solve for x
    x = 1,730,813,134.61/54,462.65
  6. Step 6: Final answer
    x = 31,779.82

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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.