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Finding the Fourth Proportional to 123,543.84, 184,962.60 and 115,696.80

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Solution

The fourth proportional to 123,543.84, 184,962.60 and 115,696.80 is: 173,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,543.84 : 184,962.60 = 115,696.80 : x
  2. Step 2: Convert to fraction form
    123,543.84/184,962.60 = 115,696.80/x
  3. Step 3: Cross multiply
    123,543.84x = 184,962.60 × 115,696.80
  4. Step 4: Simplify right side
    123,543.84x = 21,399,580,939.68
  5. Step 5: Solve for x
    x = 21,399,580,939.68/123,543.84
  6. Step 6: Final answer
    x = 173,214.47

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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.