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Finding the Fourth Proportional to 206,023.91, 308,482.16 and 130,736.43

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Solution

The fourth proportional to 206,023.91, 308,482.16 and 130,736.43 is: 195,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,023.91 : 308,482.16 = 130,736.43 : x
  2. Step 2: Convert to fraction form
    206,023.91/308,482.16 = 130,736.43/x
  3. Step 3: Cross multiply
    206,023.91x = 308,482.16 × 130,736.43
  4. Step 4: Simplify right side
    206,023.91x = 40,329,855,663.41
  5. Step 5: Solve for x
    x = 40,329,855,663.41/206,023.91
  6. Step 6: Final answer
    x = 195,753.28

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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.