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Finding the Fourth Proportional to 81,666.21, 122,514.80 and 28,356.11

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Solution

The fourth proportional to 81,666.21, 122,514.80 and 28,356.11 is: 42,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,666.21 : 122,514.80 = 28,356.11 : x
  2. Step 2: Convert to fraction form
    81,666.21/122,514.80 = 28,356.11/x
  3. Step 3: Cross multiply
    81,666.21x = 122,514.80 × 28,356.11
  4. Step 4: Simplify right side
    81,666.21x = 3,474,042,391.07
  5. Step 5: Solve for x
    x = 3,474,042,391.07/81,666.21
  6. Step 6: Final answer
    x = 42,539.53

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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.