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Finding the Fourth Proportional to 54,502.30, 81,692.70 and 21,211.30

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Solution

The fourth proportional to 54,502.30, 81,692.70 and 21,211.30 is: 31,793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,502.30 : 81,692.70 = 21,211.30 : x
  2. Step 2: Convert to fraction form
    54,502.30/81,692.70 = 21,211.30/x
  3. Step 3: Cross multiply
    54,502.30x = 81,692.70 × 21,211.30
  4. Step 4: Simplify right side
    54,502.30x = 1,732,808,367.51
  5. Step 5: Solve for x
    x = 1,732,808,367.51/54,502.30
  6. Step 6: Final answer
    x = 31,793.31

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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.