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Finding the Fourth Proportional to 141,239, 194,910 and 77,578.04

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Solution

The fourth proportional to 141,239, 194,910 and 77,578.04 is: 107,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,239 : 194,910 = 77,578.04 : x
  2. Step 2: Convert to fraction form
    141,239/194,910 = 77,578.04/x
  3. Step 3: Cross multiply
    141,239x = 194,910 × 77,578.04
  4. Step 4: Simplify right side
    141,239x = 15,120,735,776.40
  5. Step 5: Solve for x
    x = 15,120,735,776.40/141,239
  6. Step 6: Final answer
    x = 107,057.79

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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.