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Finding the Fourth Proportional to 130,604.66, 195,907.02 and 86,221.02

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Solution

The fourth proportional to 130,604.66, 195,907.02 and 86,221.02 is: 129,331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,604.66 : 195,907.02 = 86,221.02 : x
  2. Step 2: Convert to fraction form
    130,604.66/195,907.02 = 86,221.02/x
  3. Step 3: Cross multiply
    130,604.66x = 195,907.02 × 86,221.02
  4. Step 4: Simplify right side
    130,604.66x = 16,891,303,089.56
  5. Step 5: Solve for x
    x = 16,891,303,089.56/130,604.66
  6. Step 6: Final answer
    x = 129,331.55

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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.