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Finding the Fourth Proportional to 270,644.63, 405,855.96 and 81,038.21

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Solution

The fourth proportional to 270,644.63, 405,855.96 and 81,038.21 is: 121,524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,644.63 : 405,855.96 = 81,038.21 : x
  2. Step 2: Convert to fraction form
    270,644.63/405,855.96 = 81,038.21/x
  3. Step 3: Cross multiply
    270,644.63x = 405,855.96 × 81,038.21
  4. Step 4: Simplify right side
    270,644.63x = 32,889,840,516.23
  5. Step 5: Solve for x
    x = 32,889,840,516.23/270,644.63
  6. Step 6: Final answer
    x = 121,524.08

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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.