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Finding the Fourth Proportional to 261,169, 360,413.22 and 155,185

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Solution

The fourth proportional to 261,169, 360,413.22 and 155,185 is: 214,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,169 : 360,413.22 = 155,185 : x
  2. Step 2: Convert to fraction form
    261,169/360,413.22 = 155,185/x
  3. Step 3: Cross multiply
    261,169x = 360,413.22 × 155,185
  4. Step 4: Simplify right side
    261,169x = 55,930,725,545.70
  5. Step 5: Solve for x
    x = 55,930,725,545.70/261,169
  6. Step 6: Final answer
    x = 214,155.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.