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Finding the Fourth Proportional to 199,381.75, 275,146.82 and 109,957.75

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Solution

The fourth proportional to 199,381.75, 275,146.82 and 109,957.75 is: 151,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,381.75 : 275,146.82 = 109,957.75 : x
  2. Step 2: Convert to fraction form
    199,381.75/275,146.82 = 109,957.75/x
  3. Step 3: Cross multiply
    199,381.75x = 275,146.82 × 109,957.75
  4. Step 4: Simplify right side
    199,381.75x = 30,254,525,246.86
  5. Step 5: Solve for x
    x = 30,254,525,246.86/199,381.75
  6. Step 6: Final answer
    x = 151,741.70

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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.