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Finding the Fourth Proportional to 206,017.82, 308,473.02 and 130,730.34

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Solution

The fourth proportional to 206,017.82, 308,473.02 and 130,730.34 is: 195,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,017.82 : 308,473.02 = 130,730.34 : x
  2. Step 2: Convert to fraction form
    206,017.82/308,473.02 = 130,730.34/x
  3. Step 3: Cross multiply
    206,017.82x = 308,473.02 × 130,730.34
  4. Step 4: Simplify right side
    206,017.82x = 40,326,782,785.43
  5. Step 5: Solve for x
    x = 40,326,782,785.43/206,017.82
  6. Step 6: Final answer
    x = 195,744.15

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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.