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Finding the Fourth Proportional to 227,642.52, 314,178.36 and 127,047

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Solution

The fourth proportional to 227,642.52, 314,178.36 and 127,047 is: 175,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,642.52 : 314,178.36 = 127,047 : x
  2. Step 2: Convert to fraction form
    227,642.52/314,178.36 = 127,047/x
  3. Step 3: Cross multiply
    227,642.52x = 314,178.36 × 127,047
  4. Step 4: Simplify right side
    227,642.52x = 39,915,418,102.92
  5. Step 5: Solve for x
    x = 39,915,418,102.92/227,642.52
  6. Step 6: Final answer
    x = 175,342.54

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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.