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Finding the Fourth Proportional to 97,660, 146,489.86 and 64,137.64

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Solution

The fourth proportional to 97,660, 146,489.86 and 64,137.64 is: 96,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,660 : 146,489.86 = 64,137.64 : x
  2. Step 2: Convert to fraction form
    97,660/146,489.86 = 64,137.64/x
  3. Step 3: Cross multiply
    97,660x = 146,489.86 × 64,137.64
  4. Step 4: Simplify right side
    97,660x = 9,395,513,904.33
  5. Step 5: Solve for x
    x = 9,395,513,904.33/97,660
  6. Step 6: Final answer
    x = 96,206.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.