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Finding the Fourth Proportional to 81,835.46, 112,443.52 and 65,039.30

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Solution

The fourth proportional to 81,835.46, 112,443.52 and 65,039.30 is: 89,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,835.46 : 112,443.52 = 65,039.30 : x
  2. Step 2: Convert to fraction form
    81,835.46/112,443.52 = 65,039.30/x
  3. Step 3: Cross multiply
    81,835.46x = 112,443.52 × 65,039.30
  4. Step 4: Simplify right side
    81,835.46x = 7,313,247,830.34
  5. Step 5: Solve for x
    x = 7,313,247,830.34/81,835.46
  6. Step 6: Final answer
    x = 89,365.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.