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Finding the Fourth Proportional to 130,665.86, 195,998.07 and 47,559.86

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Solution

The fourth proportional to 130,665.86, 195,998.07 and 47,559.86 is: 71,339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,665.86 : 195,998.07 = 47,559.86 : x
  2. Step 2: Convert to fraction form
    130,665.86/195,998.07 = 47,559.86/x
  3. Step 3: Cross multiply
    130,665.86x = 195,998.07 × 47,559.86
  4. Step 4: Simplify right side
    130,665.86x = 9,321,640,769.47
  5. Step 5: Solve for x
    x = 9,321,640,769.47/130,665.86
  6. Step 6: Final answer
    x = 71,339.53

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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.