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Finding the Fourth Proportional to 243,120.96, 364,694.40 and 76,896

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Solution

The fourth proportional to 243,120.96, 364,694.40 and 76,896 is: 115,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,120.96 : 364,694.40 = 76,896 : x
  2. Step 2: Convert to fraction form
    243,120.96/364,694.40 = 76,896/x
  3. Step 3: Cross multiply
    243,120.96x = 364,694.40 × 76,896
  4. Step 4: Simplify right side
    243,120.96x = 28,043,540,582.40
  5. Step 5: Solve for x
    x = 28,043,540,582.40/243,120.96
  6. Step 6: Final answer
    x = 115,348.10

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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.