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Finding the Fourth Proportional to 206,345.92, 309,518.80 and 136,208.80

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Solution

The fourth proportional to 206,345.92, 309,518.80 and 136,208.80 is: 204,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,345.92 : 309,518.80 = 136,208.80 : x
  2. Step 2: Convert to fraction form
    206,345.92/309,518.80 = 136,208.80/x
  3. Step 3: Cross multiply
    206,345.92x = 309,518.80 × 136,208.80
  4. Step 4: Simplify right side
    206,345.92x = 42,159,184,325.44
  5. Step 5: Solve for x
    x = 42,159,184,325.44/206,345.92
  6. Step 6: Final answer
    x = 204,313.15

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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.