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Finding the Fourth Proportional to 86,611.32, 129,894.03 and 34,021.26

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Solution

The fourth proportional to 86,611.32, 129,894.03 and 34,021.26 is: 51,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,611.32 : 129,894.03 = 34,021.26 : x
  2. Step 2: Convert to fraction form
    86,611.32/129,894.03 = 34,021.26/x
  3. Step 3: Cross multiply
    86,611.32x = 129,894.03 × 34,021.26
  4. Step 4: Simplify right side
    86,611.32x = 4,419,158,567.08
  5. Step 5: Solve for x
    x = 4,419,158,567.08/86,611.32
  6. Step 6: Final answer
    x = 51,022.88

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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.