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Finding the Fourth Proportional to 97,989, 135,225.81 and 53,277.96

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Solution

The fourth proportional to 97,989, 135,225.81 and 53,277.96 is: 73,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,989 : 135,225.81 = 53,277.96 : x
  2. Step 2: Convert to fraction form
    97,989/135,225.81 = 53,277.96/x
  3. Step 3: Cross multiply
    97,989x = 135,225.81 × 53,277.96
  4. Step 4: Simplify right side
    97,989x = 7,204,555,296.15
  5. Step 5: Solve for x
    x = 7,204,555,296.15/97,989
  6. Step 6: Final answer
    x = 73,524.12

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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.