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Finding the Fourth Proportional to 54,686.80, 82,005.90 and 21,395.80

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Solution

The fourth proportional to 54,686.80, 82,005.90 and 21,395.80 is: 32,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,686.80 : 82,005.90 = 21,395.80 : x
  2. Step 2: Convert to fraction form
    54,686.80/82,005.90 = 21,395.80/x
  3. Step 3: Cross multiply
    54,686.80x = 82,005.90 × 21,395.80
  4. Step 4: Simplify right side
    54,686.80x = 1,754,581,835.22
  5. Step 5: Solve for x
    x = 1,754,581,835.22/54,686.80
  6. Step 6: Final answer
    x = 32,084.19

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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.