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Finding the Fourth Proportional to 130,674.64, 195,856.44 and 75,154

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Solution

The fourth proportional to 130,674.64, 195,856.44 and 75,154 is: 112,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,674.64 : 195,856.44 = 75,154 : x
  2. Step 2: Convert to fraction form
    130,674.64/195,856.44 = 75,154/x
  3. Step 3: Cross multiply
    130,674.64x = 195,856.44 × 75,154
  4. Step 4: Simplify right side
    130,674.64x = 14,719,394,891.76
  5. Step 5: Solve for x
    x = 14,719,394,891.76/130,674.64
  6. Step 6: Final answer
    x = 112,641.56

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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.