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Finding the Fourth Proportional to 230,136.36, 345,258.86 and 72,364.82

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Solution

The fourth proportional to 230,136.36, 345,258.86 and 72,364.82 is: 108,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,136.36 : 345,258.86 = 72,364.82 : x
  2. Step 2: Convert to fraction form
    230,136.36/345,258.86 = 72,364.82/x
  3. Step 3: Cross multiply
    230,136.36x = 345,258.86 × 72,364.82
  4. Step 4: Simplify right side
    230,136.36x = 24,984,595,257.31
  5. Step 5: Solve for x
    x = 24,984,595,257.31/230,136.36
  6. Step 6: Final answer
    x = 108,564.31

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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.