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Finding the Fourth Proportional to 206,436.29, 309,654.92 and 56,678.63

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Solution

The fourth proportional to 206,436.29, 309,654.92 and 56,678.63 is: 85,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,436.29 : 309,654.92 = 56,678.63 : x
  2. Step 2: Convert to fraction form
    206,436.29/309,654.92 = 56,678.63/x
  3. Step 3: Cross multiply
    206,436.29x = 309,654.92 × 56,678.63
  4. Step 4: Simplify right side
    206,436.29x = 17,550,817,554.19
  5. Step 5: Solve for x
    x = 17,550,817,554.19/206,436.29
  6. Step 6: Final answer
    x = 85,018.08

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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.