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Finding the Fourth Proportional to 73,963.48, 102,069.60 and 39,971.84

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Solution

The fourth proportional to 73,963.48, 102,069.60 and 39,971.84 is: 55,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,963.48 : 102,069.60 = 39,971.84 : x
  2. Step 2: Convert to fraction form
    73,963.48/102,069.60 = 39,971.84/x
  3. Step 3: Cross multiply
    73,963.48x = 102,069.60 × 39,971.84
  4. Step 4: Simplify right side
    73,963.48x = 4,079,909,720.06
  5. Step 5: Solve for x
    x = 4,079,909,720.06/73,963.48
  6. Step 6: Final answer
    x = 55,161.14

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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.