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Finding the Fourth Proportional to 130,190.76, 195,289.38 and 36,693

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Solution

The fourth proportional to 130,190.76, 195,289.38 and 36,693 is: 55,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,190.76 : 195,289.38 = 36,693 : x
  2. Step 2: Convert to fraction form
    130,190.76/195,289.38 = 36,693/x
  3. Step 3: Cross multiply
    130,190.76x = 195,289.38 × 36,693
  4. Step 4: Simplify right side
    130,190.76x = 7,165,753,220.34
  5. Step 5: Solve for x
    x = 7,165,753,220.34/130,190.76
  6. Step 6: Final answer
    x = 55,040.41

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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.