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Finding the Fourth Proportional to 81,782.40, 112,849.92 and 45,967.68

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Solution

The fourth proportional to 81,782.40, 112,849.92 and 45,967.68 is: 63,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,782.40 : 112,849.92 = 45,967.68 : x
  2. Step 2: Convert to fraction form
    81,782.40/112,849.92 = 45,967.68/x
  3. Step 3: Cross multiply
    81,782.40x = 112,849.92 × 45,967.68
  4. Step 4: Simplify right side
    81,782.40x = 5,187,449,010.59
  5. Step 5: Solve for x
    x = 5,187,449,010.59/81,782.40
  6. Step 6: Final answer
    x = 63,429.89

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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.