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Finding the Fourth Proportional to 129,336, 178,456.80 and 75,610.48

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Solution

The fourth proportional to 129,336, 178,456.80 and 75,610.48 is: 104,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,336 : 178,456.80 = 75,610.48 : x
  2. Step 2: Convert to fraction form
    129,336/178,456.80 = 75,610.48/x
  3. Step 3: Cross multiply
    129,336x = 178,456.80 × 75,610.48
  4. Step 4: Simplify right side
    129,336x = 13,493,204,307.26
  5. Step 5: Solve for x
    x = 13,493,204,307.26/129,336
  6. Step 6: Final answer
    x = 104,326.75

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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.