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Finding the Fourth Proportional to 123,287.80, 184,463.70 and 81,815.80

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Solution

The fourth proportional to 123,287.80, 184,463.70 and 81,815.80 is: 122,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,287.80 : 184,463.70 = 81,815.80 : x
  2. Step 2: Convert to fraction form
    123,287.80/184,463.70 = 81,815.80/x
  3. Step 3: Cross multiply
    123,287.80x = 184,463.70 × 81,815.80
  4. Step 4: Simplify right side
    123,287.80x = 15,092,045,186.46
  5. Step 5: Solve for x
    x = 15,092,045,186.46/123,287.80
  6. Step 6: Final answer
    x = 122,413.13

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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.