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Finding the Fourth Proportional to 206,383.49, 309,554.51 and 56,638.86

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Solution

The fourth proportional to 206,383.49, 309,554.51 and 56,638.86 is: 84,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,383.49 : 309,554.51 = 56,638.86 : x
  2. Step 2: Convert to fraction form
    206,383.49/309,554.51 = 56,638.86/x
  3. Step 3: Cross multiply
    206,383.49x = 309,554.51 × 56,638.86
  4. Step 4: Simplify right side
    206,383.49x = 17,532,814,271.06
  5. Step 5: Solve for x
    x = 17,532,814,271.06/206,383.49
  6. Step 6: Final answer
    x = 84,952.60

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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.