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Finding the Fourth Proportional to 243,084.20, 364,623.90 and 76,872.20

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Solution

The fourth proportional to 243,084.20, 364,623.90 and 76,872.20 is: 115,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,084.20 : 364,623.90 = 76,872.20 : x
  2. Step 2: Convert to fraction form
    243,084.20/364,623.90 = 76,872.20/x
  3. Step 3: Cross multiply
    243,084.20x = 364,623.90 × 76,872.20
  4. Step 4: Simplify right side
    243,084.20x = 28,029,441,365.58
  5. Step 5: Solve for x
    x = 28,029,441,365.58/243,084.20
  6. Step 6: Final answer
    x = 115,307.54

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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.