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Finding the Fourth Proportional to 197,872.70, 296,809.05 and 55,717.93

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Solution

The fourth proportional to 197,872.70, 296,809.05 and 55,717.93 is: 83,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,872.70 : 296,809.05 = 55,717.93 : x
  2. Step 2: Convert to fraction form
    197,872.70/296,809.05 = 55,717.93/x
  3. Step 3: Cross multiply
    197,872.70x = 296,809.05 × 55,717.93
  4. Step 4: Simplify right side
    197,872.70x = 16,537,584,389.90
  5. Step 5: Solve for x
    x = 16,537,584,389.90/197,872.70
  6. Step 6: Final answer
    x = 83,576.89

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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.