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Finding the Fourth Proportional to 206,345.74, 309,606.09 and 112,742.14

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Solution

The fourth proportional to 206,345.74, 309,606.09 and 112,742.14 is: 169,161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,345.74 : 309,606.09 = 112,742.14 : x
  2. Step 2: Convert to fraction form
    206,345.74/309,606.09 = 112,742.14/x
  3. Step 3: Cross multiply
    206,345.74x = 309,606.09 × 112,742.14
  4. Step 4: Simplify right side
    206,345.74x = 34,905,653,143.63
  5. Step 5: Solve for x
    x = 34,905,653,143.63/206,345.74
  6. Step 6: Final answer
    x = 169,161.01

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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.