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Finding the Fourth Proportional to 97,986.88, 135,222.72 and 53,274.88

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Solution

The fourth proportional to 97,986.88, 135,222.72 and 53,274.88 is: 73,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,986.88 : 135,222.72 = 53,274.88 : x
  2. Step 2: Convert to fraction form
    97,986.88/135,222.72 = 53,274.88/x
  3. Step 3: Cross multiply
    97,986.88x = 135,222.72 × 53,274.88
  4. Step 4: Simplify right side
    97,986.88x = 7,203,974,181.27
  5. Step 5: Solve for x
    x = 7,203,974,181.27/97,986.88
  6. Step 6: Final answer
    x = 73,519.78

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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.