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Finding the Fourth Proportional to 81,762.92, 112,748.82 and 68,329.16

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Solution

The fourth proportional to 81,762.92, 112,748.82 and 68,329.16 is: 94,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,762.92 : 112,748.82 = 68,329.16 : x
  2. Step 2: Convert to fraction form
    81,762.92/112,748.82 = 68,329.16/x
  3. Step 3: Cross multiply
    81,762.92x = 112,748.82 × 68,329.16
  4. Step 4: Simplify right side
    81,762.92x = 7,704,032,161.59
  5. Step 5: Solve for x
    x = 7,704,032,161.59/81,762.92
  6. Step 6: Final answer
    x = 94,224.03

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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.