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Finding the Fourth Proportional to 129,798, 194,731.56 and 41,053.12

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Solution

The fourth proportional to 129,798, 194,731.56 and 41,053.12 is: 61,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,798 : 194,731.56 = 41,053.12 : x
  2. Step 2: Convert to fraction form
    129,798/194,731.56 = 41,053.12/x
  3. Step 3: Cross multiply
    129,798x = 194,731.56 × 41,053.12
  4. Step 4: Simplify right side
    129,798x = 7,994,338,100.47
  5. Step 5: Solve for x
    x = 7,994,338,100.47/129,798
  6. Step 6: Final answer
    x = 61,590.61

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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.