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Finding the Fourth Proportional to 129,778, 194,696.16 and 46,672

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Solution

The fourth proportional to 129,778, 194,696.16 and 46,672 is: 70,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,778 : 194,696.16 = 46,672 : x
  2. Step 2: Convert to fraction form
    129,778/194,696.16 = 46,672/x
  3. Step 3: Cross multiply
    129,778x = 194,696.16 × 46,672
  4. Step 4: Simplify right side
    129,778x = 9,086,859,179.52
  5. Step 5: Solve for x
    x = 9,086,859,179.52/129,778
  6. Step 6: Final answer
    x = 70,018.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.