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Finding the Fourth Proportional to 205,885.90, 308,819.72 and 56,126.22

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Solution

The fourth proportional to 205,885.90, 308,819.72 and 56,126.22 is: 84,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,885.90 : 308,819.72 = 56,126.22 : x
  2. Step 2: Convert to fraction form
    205,885.90/308,819.72 = 56,126.22/x
  3. Step 3: Cross multiply
    205,885.90x = 308,819.72 × 56,126.22
  4. Step 4: Simplify right side
    205,885.90x = 17,332,882,527.30
  5. Step 5: Solve for x
    x = 17,332,882,527.30/205,885.90
  6. Step 6: Final answer
    x = 84,186.84

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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.