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Finding the Fourth Proportional to 86,529, 129,807.54 and 33,909.96

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Solution

The fourth proportional to 86,529, 129,807.54 and 33,909.96 is: 50,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,529 : 129,807.54 = 33,909.96 : x
  2. Step 2: Convert to fraction form
    86,529/129,807.54 = 33,909.96/x
  3. Step 3: Cross multiply
    86,529x = 129,807.54 × 33,909.96
  4. Step 4: Simplify right side
    86,529x = 4,401,768,489.10
  5. Step 5: Solve for x
    x = 4,401,768,489.10/86,529
  6. Step 6: Final answer
    x = 50,870.44

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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.