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Finding the Fourth Proportional to 86,310.32, 129,485.84 and 27,145.98

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Solution

The fourth proportional to 86,310.32, 129,485.84 and 27,145.98 is: 40,725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,310.32 : 129,485.84 = 27,145.98 : x
  2. Step 2: Convert to fraction form
    86,310.32/129,485.84 = 27,145.98/x
  3. Step 3: Cross multiply
    86,310.32x = 129,485.84 × 27,145.98
  4. Step 4: Simplify right side
    86,310.32x = 3,515,019,887.19
  5. Step 5: Solve for x
    x = 3,515,019,887.19/86,310.32
  6. Step 6: Final answer
    x = 40,725.37

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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.