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Finding the Fourth Proportional to 141,125.40, 194,755.26 and 77,469

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Solution

The fourth proportional to 141,125.40, 194,755.26 and 77,469 is: 106,908.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,125.40 : 194,755.26 = 77,469 : x
  2. Step 2: Convert to fraction form
    141,125.40/194,755.26 = 77,469/x
  3. Step 3: Cross multiply
    141,125.40x = 194,755.26 × 77,469
  4. Step 4: Simplify right side
    141,125.40x = 15,087,495,236.94
  5. Step 5: Solve for x
    x = 15,087,495,236.94/141,125.40
  6. Step 6: Final answer
    x = 106,908.43

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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.