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Finding the Fourth Proportional to 129,125, 193,694.82 and 46,019

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Solution

The fourth proportional to 129,125, 193,694.82 and 46,019 is: 69,031.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,125 : 193,694.82 = 46,019 : x
  2. Step 2: Convert to fraction form
    129,125/193,694.82 = 46,019/x
  3. Step 3: Cross multiply
    129,125x = 193,694.82 × 46,019
  4. Step 4: Simplify right side
    129,125x = 8,913,641,921.58
  5. Step 5: Solve for x
    x = 8,913,641,921.58/129,125
  6. Step 6: Final answer
    x = 69,031.11

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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.