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Finding the Fourth Proportional to 230,489.54, 345,509.79 and 104,161.58

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Solution

The fourth proportional to 230,489.54, 345,509.79 and 104,161.58 is: 156,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,489.54 : 345,509.79 = 104,161.58 : x
  2. Step 2: Convert to fraction form
    230,489.54/345,509.79 = 104,161.58/x
  3. Step 3: Cross multiply
    230,489.54x = 345,509.79 × 104,161.58
  4. Step 4: Simplify right side
    230,489.54x = 35,988,845,631.87
  5. Step 5: Solve for x
    x = 35,988,845,631.87/230,489.54
  6. Step 6: Final answer
    x = 156,140.91

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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.