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Finding the Fourth Proportional to 81,992.84, 112,911.90 and 71,232.80

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Solution

The fourth proportional to 81,992.84, 112,911.90 and 71,232.80 is: 98,094.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,992.84 : 112,911.90 = 71,232.80 : x
  2. Step 2: Convert to fraction form
    81,992.84/112,911.90 = 71,232.80/x
  3. Step 3: Cross multiply
    81,992.84x = 112,911.90 × 71,232.80
  4. Step 4: Simplify right side
    81,992.84x = 8,043,030,225.76
  5. Step 5: Solve for x
    x = 8,043,030,225.76/81,992.84
  6. Step 6: Final answer
    x = 98,094.31

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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.