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Finding the Fourth Proportional to 123,896.03, 170,881.38 and 83,545.88

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Solution

The fourth proportional to 123,896.03, 170,881.38 and 83,545.88 is: 115,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,896.03 : 170,881.38 = 83,545.88 : x
  2. Step 2: Convert to fraction form
    123,896.03/170,881.38 = 83,545.88/x
  3. Step 3: Cross multiply
    123,896.03x = 170,881.38 × 83,545.88
  4. Step 4: Simplify right side
    123,896.03x = 14,276,434,413.31
  5. Step 5: Solve for x
    x = 14,276,434,413.31/123,896.03
  6. Step 6: Final answer
    x = 115,229.16

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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.