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Finding the Fourth Proportional to 121,777.82, 167,944.48 and 76,460

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Solution

The fourth proportional to 121,777.82, 167,944.48 and 76,460 is: 105,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,777.82 : 167,944.48 = 76,460 : x
  2. Step 2: Convert to fraction form
    121,777.82/167,944.48 = 76,460/x
  3. Step 3: Cross multiply
    121,777.82x = 167,944.48 × 76,460
  4. Step 4: Simplify right side
    121,777.82x = 12,841,034,940.80
  5. Step 5: Solve for x
    x = 12,841,034,940.80/121,777.82
  6. Step 6: Final answer
    x = 105,446.42

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1.5x scale

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.