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Finding the Fourth Proportional to 141,458.94, 195,209.43 and 77,796.78

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Solution

The fourth proportional to 141,458.94, 195,209.43 and 77,796.78 is: 107,357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,458.94 : 195,209.43 = 77,796.78 : x
  2. Step 2: Convert to fraction form
    141,458.94/195,209.43 = 77,796.78/x
  3. Step 3: Cross multiply
    141,458.94x = 195,209.43 × 77,796.78
  4. Step 4: Simplify right side
    141,458.94x = 15,186,665,079.64
  5. Step 5: Solve for x
    x = 15,186,665,079.64/141,458.94
  6. Step 6: Final answer
    x = 107,357.41

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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.