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Finding the Fourth Proportional to 141,129.72, 194,757.84 and 77,463.72

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Solution

The fourth proportional to 141,129.72, 194,757.84 and 77,463.72 is: 106,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,129.72 : 194,757.84 = 77,463.72 : x
  2. Step 2: Convert to fraction form
    141,129.72/194,757.84 = 77,463.72/x
  3. Step 3: Cross multiply
    141,129.72x = 194,757.84 × 77,463.72
  4. Step 4: Simplify right side
    141,129.72x = 15,086,666,785.56
  5. Step 5: Solve for x
    x = 15,086,666,785.56/141,129.72
  6. Step 6: Final answer
    x = 106,899.29

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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.