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Finding the Fourth Proportional to 141,104.28, 194,726.28 and 77,448

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Solution

The fourth proportional to 141,104.28, 194,726.28 and 77,448 is: 106,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,104.28 : 194,726.28 = 77,448 : x
  2. Step 2: Convert to fraction form
    141,104.28/194,726.28 = 77,448/x
  3. Step 3: Cross multiply
    141,104.28x = 194,726.28 × 77,448
  4. Step 4: Simplify right side
    141,104.28x = 15,081,160,933.44
  5. Step 5: Solve for x
    x = 15,081,160,933.44/141,104.28
  6. Step 6: Final answer
    x = 106,879.54

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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.