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Finding the Fourth Proportional to 86,318.88, 129,447 and 30,143.22

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Solution

The fourth proportional to 86,318.88, 129,447 and 30,143.22 is: 45,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,318.88 : 129,447 = 30,143.22 : x
  2. Step 2: Convert to fraction form
    86,318.88/129,447 = 30,143.22/x
  3. Step 3: Cross multiply
    86,318.88x = 129,447 × 30,143.22
  4. Step 4: Simplify right side
    86,318.88x = 3,901,949,399.34
  5. Step 5: Solve for x
    x = 3,901,949,399.34/86,318.88
  6. Step 6: Final answer
    x = 45,203.89

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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.