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Finding the Fourth Proportional to 204,509.56, 306,904.48 and 71,389.84

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Solution

The fourth proportional to 204,509.56, 306,904.48 and 71,389.84 is: 107,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,509.56 : 306,904.48 = 71,389.84 : x
  2. Step 2: Convert to fraction form
    204,509.56/306,904.48 = 71,389.84/x
  3. Step 3: Cross multiply
    204,509.56x = 306,904.48 × 71,389.84
  4. Step 4: Simplify right side
    204,509.56x = 21,909,860,776.75
  5. Step 5: Solve for x
    x = 21,909,860,776.75/204,509.56
  6. Step 6: Final answer
    x = 107,133.68

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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.