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Finding the Fourth Proportional to 129,978.38, 194,967.57 and 46,872.38

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Solution

The fourth proportional to 129,978.38, 194,967.57 and 46,872.38 is: 70,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,978.38 : 194,967.57 = 46,872.38 : x
  2. Step 2: Convert to fraction form
    129,978.38/194,967.57 = 46,872.38/x
  3. Step 3: Cross multiply
    129,978.38x = 194,967.57 × 46,872.38
  4. Step 4: Simplify right side
    129,978.38x = 9,138,593,053.88
  5. Step 5: Solve for x
    x = 9,138,593,053.88/129,978.38
  6. Step 6: Final answer
    x = 70,308.57

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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.