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Finding the Fourth Proportional to 86,208.20, 129,020.70 and 75,710.60

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Solution

The fourth proportional to 86,208.20, 129,020.70 and 75,710.60 is: 113,309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,208.20 : 129,020.70 = 75,710.60 : x
  2. Step 2: Convert to fraction form
    86,208.20/129,020.70 = 75,710.60/x
  3. Step 3: Cross multiply
    86,208.20x = 129,020.70 × 75,710.60
  4. Step 4: Simplify right side
    86,208.20x = 9,768,234,609.42
  5. Step 5: Solve for x
    x = 9,768,234,609.42/86,208.20
  6. Step 6: Final answer
    x = 113,309.81

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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.