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Finding the Fourth Proportional to 206,257.80, 309,386.94 and 56,499.38

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Solution

The fourth proportional to 206,257.80, 309,386.94 and 56,499.38 is: 84,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,257.80 : 309,386.94 = 56,499.38 : x
  2. Step 2: Convert to fraction form
    206,257.80/309,386.94 = 56,499.38/x
  3. Step 3: Cross multiply
    206,257.80x = 309,386.94 × 56,499.38
  4. Step 4: Simplify right side
    206,257.80x = 17,480,169,516.63
  5. Step 5: Solve for x
    x = 17,480,169,516.63/206,257.80
  6. Step 6: Final answer
    x = 84,749.13

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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.