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Finding the Fourth Proportional to 86,080.50, 129,125.61 and 30,676.50

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Solution

The fourth proportional to 86,080.50, 129,125.61 and 30,676.50 is: 46,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,080.50 : 129,125.61 = 30,676.50 : x
  2. Step 2: Convert to fraction form
    86,080.50/129,125.61 = 30,676.50/x
  3. Step 3: Cross multiply
    86,080.50x = 129,125.61 × 30,676.50
  4. Step 4: Simplify right side
    86,080.50x = 3,961,121,775.17
  5. Step 5: Solve for x
    x = 3,961,121,775.17/86,080.50
  6. Step 6: Final answer
    x = 46,016.48

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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.