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Finding the Fourth Proportional to 130,472.44, 195,708.68 and 36,978.20

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Solution

The fourth proportional to 130,472.44, 195,708.68 and 36,978.20 is: 55,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,472.44 : 195,708.68 = 36,978.20 : x
  2. Step 2: Convert to fraction form
    130,472.44/195,708.68 = 36,978.20/x
  3. Step 3: Cross multiply
    130,472.44x = 195,708.68 × 36,978.20
  4. Step 4: Simplify right side
    130,472.44x = 7,236,954,710.78
  5. Step 5: Solve for x
    x = 7,236,954,710.78/130,472.44
  6. Step 6: Final answer
    x = 55,467.31

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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.