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Finding the Fourth Proportional to 86,580.30, 129,843.45 and 34,005.90

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Solution

The fourth proportional to 86,580.30, 129,843.45 and 34,005.90 is: 50,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,580.30 : 129,843.45 = 34,005.90 : x
  2. Step 2: Convert to fraction form
    86,580.30/129,843.45 = 34,005.90/x
  3. Step 3: Cross multiply
    86,580.30x = 129,843.45 × 34,005.90
  4. Step 4: Simplify right side
    86,580.30x = 4,415,443,376.36
  5. Step 5: Solve for x
    x = 4,415,443,376.36/86,580.30
  6. Step 6: Final answer
    x = 50,998.25

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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.