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Finding the Fourth Proportional to 227,884.78, 314,453.90 and 137,239.30

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Solution

The fourth proportional to 227,884.78, 314,453.90 and 137,239.30 is: 189,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,884.78 : 314,453.90 = 137,239.30 : x
  2. Step 2: Convert to fraction form
    227,884.78/314,453.90 = 137,239.30/x
  3. Step 3: Cross multiply
    227,884.78x = 314,453.90 × 137,239.30
  4. Step 4: Simplify right side
    227,884.78x = 43,155,433,118.27
  5. Step 5: Solve for x
    x = 43,155,433,118.27/227,884.78
  6. Step 6: Final answer
    x = 189,373.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.