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Finding the Fourth Proportional to 98,709, 136,221.66 and 53,997

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Solution

The fourth proportional to 98,709, 136,221.66 and 53,997 is: 74,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,709 : 136,221.66 = 53,997 : x
  2. Step 2: Convert to fraction form
    98,709/136,221.66 = 53,997/x
  3. Step 3: Cross multiply
    98,709x = 136,221.66 × 53,997
  4. Step 4: Simplify right side
    98,709x = 7,355,560,975.02
  5. Step 5: Solve for x
    x = 7,355,560,975.02/98,709
  6. Step 6: Final answer
    x = 74,517.63

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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.