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Finding the Fourth Proportional to 141,912, 212,868 and 57,717.97

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Solution

The fourth proportional to 141,912, 212,868 and 57,717.97 is: 86,576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,912 : 212,868 = 57,717.97 : x
  2. Step 2: Convert to fraction form
    141,912/212,868 = 57,717.97/x
  3. Step 3: Cross multiply
    141,912x = 212,868 × 57,717.97
  4. Step 4: Simplify right side
    141,912x = 12,286,308,305.79
  5. Step 5: Solve for x
    x = 12,286,308,305.79/141,912
  6. Step 6: Final answer
    x = 86,576.95

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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.