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Finding the Fourth Proportional to 86,580.70, 129,871.05 and 71,806.30

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Solution

The fourth proportional to 86,580.70, 129,871.05 and 71,806.30 is: 107,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,580.70 : 129,871.05 = 71,806.30 : x
  2. Step 2: Convert to fraction form
    86,580.70/129,871.05 = 71,806.30/x
  3. Step 3: Cross multiply
    86,580.70x = 129,871.05 × 71,806.30
  4. Step 4: Simplify right side
    86,580.70x = 9,325,559,577.62
  5. Step 5: Solve for x
    x = 9,325,559,577.62/86,580.70
  6. Step 6: Final answer
    x = 107,709.45

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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.