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Finding the Fourth Proportional to 164,188.36, 245,838.34 and 85,136.41

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Solution

The fourth proportional to 164,188.36, 245,838.34 and 85,136.41 is: 127,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,188.36 : 245,838.34 = 85,136.41 : x
  2. Step 2: Convert to fraction form
    164,188.36/245,838.34 = 85,136.41/x
  3. Step 3: Cross multiply
    164,188.36x = 245,838.34 × 85,136.41
  4. Step 4: Simplify right side
    164,188.36x = 20,929,792,053.09
  5. Step 5: Solve for x
    x = 20,929,792,053.09/164,188.36
  6. Step 6: Final answer
    x = 127,474.28

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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.