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Finding the Fourth Proportional to 130,367.20, 195,205.20 and 102,719.20

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Solution

The fourth proportional to 130,367.20, 195,205.20 and 102,719.20 is: 153,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,367.20 : 195,205.20 = 102,719.20 : x
  2. Step 2: Convert to fraction form
    130,367.20/195,205.20 = 102,719.20/x
  3. Step 3: Cross multiply
    130,367.20x = 195,205.20 × 102,719.20
  4. Step 4: Simplify right side
    130,367.20x = 20,051,321,979.84
  5. Step 5: Solve for x
    x = 20,051,321,979.84/130,367.20
  6. Step 6: Final answer
    x = 153,806.49

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1.5x scale

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.