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Finding the Fourth Proportional to 82,084.98, 123,127.49 and 19,755.48

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Solution

The fourth proportional to 82,084.98, 123,127.49 and 19,755.48 is: 29,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,084.98 : 123,127.49 = 19,755.48 : x
  2. Step 2: Convert to fraction form
    82,084.98/123,127.49 = 19,755.48/x
  3. Step 3: Cross multiply
    82,084.98x = 123,127.49 × 19,755.48
  4. Step 4: Simplify right side
    82,084.98x = 2,432,442,567.37
  5. Step 5: Solve for x
    x = 2,432,442,567.37/82,084.98
  6. Step 6: Final answer
    x = 29,633.22

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1.5x scale

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.