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Finding the Fourth Proportional to 73,980, 102,092.76 and 40,446

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Solution

The fourth proportional to 73,980, 102,092.76 and 40,446 is: 55,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,980 : 102,092.76 = 40,446 : x
  2. Step 2: Convert to fraction form
    73,980/102,092.76 = 40,446/x
  3. Step 3: Cross multiply
    73,980x = 102,092.76 × 40,446
  4. Step 4: Simplify right side
    73,980x = 4,129,243,770.96
  5. Step 5: Solve for x
    x = 4,129,243,770.96/73,980
  6. Step 6: Final answer
    x = 55,815.68

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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.