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Finding the Fourth Proportional to 230,645.06, 345,992.21 and 97,538.78

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Solution

The fourth proportional to 230,645.06, 345,992.21 and 97,538.78 is: 146,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,645.06 : 345,992.21 = 97,538.78 : x
  2. Step 2: Convert to fraction form
    230,645.06/345,992.21 = 97,538.78/x
  3. Step 3: Cross multiply
    230,645.06x = 345,992.21 × 97,538.78
  4. Step 4: Simplify right side
    230,645.06x = 33,747,655,835.25
  5. Step 5: Solve for x
    x = 33,747,655,835.25/230,645.06
  6. Step 6: Final answer
    x = 146,318.58

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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.