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Finding the Fourth Proportional to 208,637.78, 312,956.66 and 50,867.60

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Solution

The fourth proportional to 208,637.78, 312,956.66 and 50,867.60 is: 76,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,637.78 : 312,956.66 = 50,867.60 : x
  2. Step 2: Convert to fraction form
    208,637.78/312,956.66 = 50,867.60/x
  3. Step 3: Cross multiply
    208,637.78x = 312,956.66 × 50,867.60
  4. Step 4: Simplify right side
    208,637.78x = 15,919,352,760.60
  5. Step 5: Solve for x
    x = 15,919,352,760.60/208,637.78
  6. Step 6: Final answer
    x = 76,301.39

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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.