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Finding the Fourth Proportional to 123,198.96, 169,941.16 and 77,796.84

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Solution

The fourth proportional to 123,198.96, 169,941.16 and 77,796.84 is: 107,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,198.96 : 169,941.16 = 77,796.84 : x
  2. Step 2: Convert to fraction form
    123,198.96/169,941.16 = 77,796.84/x
  3. Step 3: Cross multiply
    123,198.96x = 169,941.16 × 77,796.84
  4. Step 4: Simplify right side
    123,198.96x = 13,220,885,233.93
  5. Step 5: Solve for x
    x = 13,220,885,233.93/123,198.96
  6. Step 6: Final answer
    x = 107,313.29

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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.