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Finding the Fourth Proportional to 81,920.66, 113,043.30 and 45,619.36

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Solution

The fourth proportional to 81,920.66, 113,043.30 and 45,619.36 is: 62,950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,920.66 : 113,043.30 = 45,619.36 : x
  2. Step 2: Convert to fraction form
    81,920.66/113,043.30 = 45,619.36/x
  3. Step 3: Cross multiply
    81,920.66x = 113,043.30 × 45,619.36
  4. Step 4: Simplify right side
    81,920.66x = 5,156,962,998.29
  5. Step 5: Solve for x
    x = 5,156,962,998.29/81,920.66
  6. Step 6: Final answer
    x = 62,950.70

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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.