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Finding the Fourth Proportional to 54,492.30, 81,677.70 and 21,201.30

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Solution

The fourth proportional to 54,492.30, 81,677.70 and 21,201.30 is: 31,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,492.30 : 81,677.70 = 21,201.30 : x
  2. Step 2: Convert to fraction form
    54,492.30/81,677.70 = 21,201.30/x
  3. Step 3: Cross multiply
    54,492.30x = 81,677.70 × 21,201.30
  4. Step 4: Simplify right side
    54,492.30x = 1,731,673,421.01
  5. Step 5: Solve for x
    x = 1,731,673,421.01/54,492.30
  6. Step 6: Final answer
    x = 31,778.31

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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.