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Finding the Fourth Proportional to 219,413.76, 329,136 and 108,576

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Solution

The fourth proportional to 219,413.76, 329,136 and 108,576 is: 162,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,413.76 : 329,136 = 108,576 : x
  2. Step 2: Convert to fraction form
    219,413.76/329,136 = 108,576/x
  3. Step 3: Cross multiply
    219,413.76x = 329,136 × 108,576
  4. Step 4: Simplify right side
    219,413.76x = 35,736,270,336
  5. Step 5: Solve for x
    x = 35,736,270,336/219,413.76
  6. Step 6: Final answer
    x = 162,871.60

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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.