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Finding the Fourth Proportional to 81,808.94, 112,828.74 and 57,690.20

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Solution

The fourth proportional to 81,808.94, 112,828.74 and 57,690.20 is: 79,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,808.94 : 112,828.74 = 57,690.20 : x
  2. Step 2: Convert to fraction form
    81,808.94/112,828.74 = 57,690.20/x
  3. Step 3: Cross multiply
    81,808.94x = 112,828.74 × 57,690.20
  4. Step 4: Simplify right side
    81,808.94x = 6,509,112,576.35
  5. Step 5: Solve for x
    x = 6,509,112,576.35/81,808.94
  6. Step 6: Final answer
    x = 79,564.81

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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.