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Finding the Fourth Proportional to 141,321.71, 195,021.78 and 77,658.14

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Solution

The fourth proportional to 141,321.71, 195,021.78 and 77,658.14 is: 107,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,321.71 : 195,021.78 = 77,658.14 : x
  2. Step 2: Convert to fraction form
    141,321.71/195,021.78 = 77,658.14/x
  3. Step 3: Cross multiply
    141,321.71x = 195,021.78 × 77,658.14
  4. Step 4: Simplify right side
    141,321.71x = 15,145,028,890.63
  5. Step 5: Solve for x
    x = 15,145,028,890.63/141,321.71
  6. Step 6: Final answer
    x = 107,167.03

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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.