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Finding the Fourth Proportional to 130,005, 195,080.40 and 129,013.56

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Solution

The fourth proportional to 130,005, 195,080.40 and 129,013.56 is: 193,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,005 : 195,080.40 = 129,013.56 : x
  2. Step 2: Convert to fraction form
    130,005/195,080.40 = 129,013.56/x
  3. Step 3: Cross multiply
    130,005x = 195,080.40 × 129,013.56
  4. Step 4: Simplify right side
    130,005x = 25,168,016,890.22
  5. Step 5: Solve for x
    x = 25,168,016,890.22/130,005
  6. Step 6: Final answer
    x = 193,592.68

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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.