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Finding the Fourth Proportional to 81,634.40, 112,666.84 and 45,344

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Solution

The fourth proportional to 81,634.40, 112,666.84 and 45,344 is: 62,581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,634.40 : 112,666.84 = 45,344 : x
  2. Step 2: Convert to fraction form
    81,634.40/112,666.84 = 45,344/x
  3. Step 3: Cross multiply
    81,634.40x = 112,666.84 × 45,344
  4. Step 4: Simplify right side
    81,634.40x = 5,108,765,192.96
  5. Step 5: Solve for x
    x = 5,108,765,192.96/81,634.40
  6. Step 6: Final answer
    x = 62,581.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.