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Finding the Fourth Proportional to 119,274.30, 178,472.70 and 71,918.46

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Solution

The fourth proportional to 119,274.30, 178,472.70 and 71,918.46 is: 107,613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,274.30 : 178,472.70 = 71,918.46 : x
  2. Step 2: Convert to fraction form
    119,274.30/178,472.70 = 71,918.46/x
  3. Step 3: Cross multiply
    119,274.30x = 178,472.70 × 71,918.46
  4. Step 4: Simplify right side
    119,274.30x = 12,835,481,736.04
  5. Step 5: Solve for x
    x = 12,835,481,736.04/119,274.30
  6. Step 6: Final answer
    x = 107,613.14

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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.