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Finding the Fourth Proportional to 130,200, 179,674.38 and 76,489.92

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Solution

The fourth proportional to 130,200, 179,674.38 and 76,489.92 is: 105,555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,200 : 179,674.38 = 76,489.92 : x
  2. Step 2: Convert to fraction form
    130,200/179,674.38 = 76,489.92/x
  3. Step 3: Cross multiply
    130,200x = 179,674.38 × 76,489.92
  4. Step 4: Simplify right side
    130,200x = 13,743,278,952.25
  5. Step 5: Solve for x
    x = 13,743,278,952.25/130,200
  6. Step 6: Final answer
    x = 105,555.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.