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Finding the Fourth Proportional to 45,092, 67,677.92 and 21,428.64

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Solution

The fourth proportional to 45,092, 67,677.92 and 21,428.64 is: 32,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,092 : 67,677.92 = 21,428.64 : x
  2. Step 2: Convert to fraction form
    45,092/67,677.92 = 21,428.64/x
  3. Step 3: Cross multiply
    45,092x = 67,677.92 × 21,428.64
  4. Step 4: Simplify right side
    45,092x = 1,450,245,783.63
  5. Step 5: Solve for x
    x = 1,450,245,783.63/45,092
  6. Step 6: Final answer
    x = 32,161.93

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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.