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Finding the Fourth Proportional to 121,114, 167,160.44 and 80,206.08

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Solution

The fourth proportional to 121,114, 167,160.44 and 80,206.08 is: 110,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,114 : 167,160.44 = 80,206.08 : x
  2. Step 2: Convert to fraction form
    121,114/167,160.44 = 80,206.08/x
  3. Step 3: Cross multiply
    121,114x = 167,160.44 × 80,206.08
  4. Step 4: Simplify right side
    121,114x = 13,407,283,623.48
  5. Step 5: Solve for x
    x = 13,407,283,623.48/121,114
  6. Step 6: Final answer
    x = 110,699.70

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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.