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Finding the Fourth Proportional to 243,006.96, 364,523.40 and 76,782

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Solution

The fourth proportional to 243,006.96, 364,523.40 and 76,782 is: 115,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,006.96 : 364,523.40 = 76,782 : x
  2. Step 2: Convert to fraction form
    243,006.96/364,523.40 = 76,782/x
  3. Step 3: Cross multiply
    243,006.96x = 364,523.40 × 76,782
  4. Step 4: Simplify right side
    243,006.96x = 27,988,835,698.80
  5. Step 5: Solve for x
    x = 27,988,835,698.80/243,006.96
  6. Step 6: Final answer
    x = 115,177.09

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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.