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Finding the Fourth Proportional to 86,405.85, 129,529.80 and 73,164.11

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Solution

The fourth proportional to 86,405.85, 129,529.80 and 73,164.11 is: 109,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,405.85 : 129,529.80 = 73,164.11 : x
  2. Step 2: Convert to fraction form
    86,405.85/129,529.80 = 73,164.11/x
  3. Step 3: Cross multiply
    86,405.85x = 129,529.80 × 73,164.11
  4. Step 4: Simplify right side
    86,405.85x = 9,476,931,887.83
  5. Step 5: Solve for x
    x = 9,476,931,887.83/86,405.85
  6. Step 6: Final answer
    x = 109,679.29

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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.