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Finding the Fourth Proportional to 196,381.80, 294,572.70 and 107,908.20

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Solution

The fourth proportional to 196,381.80, 294,572.70 and 107,908.20 is: 161,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,381.80 : 294,572.70 = 107,908.20 : x
  2. Step 2: Convert to fraction form
    196,381.80/294,572.70 = 107,908.20/x
  3. Step 3: Cross multiply
    196,381.80x = 294,572.70 × 107,908.20
  4. Step 4: Simplify right side
    196,381.80x = 31,786,809,826.14
  5. Step 5: Solve for x
    x = 31,786,809,826.14/196,381.80
  6. Step 6: Final answer
    x = 161,862.30

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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.