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Finding the Fourth Proportional to 130,009.56, 195,021.60 and 36,508

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Solution

The fourth proportional to 130,009.56, 195,021.60 and 36,508 is: 54,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,009.56 : 195,021.60 = 36,508 : x
  2. Step 2: Convert to fraction form
    130,009.56/195,021.60 = 36,508/x
  3. Step 3: Cross multiply
    130,009.56x = 195,021.60 × 36,508
  4. Step 4: Simplify right side
    130,009.56x = 7,119,848,572.80
  5. Step 5: Solve for x
    x = 7,119,848,572.80/130,009.56
  6. Step 6: Final answer
    x = 54,764.04

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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.