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Finding the Fourth Proportional to 81,965.80, 122,948.70 and 73,108.45

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Solution

The fourth proportional to 81,965.80, 122,948.70 and 73,108.45 is: 109,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,965.80 : 122,948.70 = 73,108.45 : x
  2. Step 2: Convert to fraction form
    81,965.80/122,948.70 = 73,108.45/x
  3. Step 3: Cross multiply
    81,965.80x = 122,948.70 × 73,108.45
  4. Step 4: Simplify right side
    81,965.80x = 8,988,588,886.52
  5. Step 5: Solve for x
    x = 8,988,588,886.52/81,965.80
  6. Step 6: Final answer
    x = 109,662.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.