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Finding the Fourth Proportional to 229,519.92, 316,717.32 and 127,538.92

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Solution

The fourth proportional to 229,519.92, 316,717.32 and 127,538.92 is: 175,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,519.92 : 316,717.32 = 127,538.92 : x
  2. Step 2: Convert to fraction form
    229,519.92/316,717.32 = 127,538.92/x
  3. Step 3: Cross multiply
    229,519.92x = 316,717.32 × 127,538.92
  4. Step 4: Simplify right side
    229,519.92x = 40,393,784,030.73
  5. Step 5: Solve for x
    x = 40,393,784,030.73/229,519.92
  6. Step 6: Final answer
    x = 175,992.50

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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.