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Finding the Fourth Proportional to 229,638.50, 316,930.83 and 129,036.50

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Solution

The fourth proportional to 229,638.50, 316,930.83 and 129,036.50 is: 178,087.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,638.50 : 316,930.83 = 129,036.50 : x
  2. Step 2: Convert to fraction form
    229,638.50/316,930.83 = 129,036.50/x
  3. Step 3: Cross multiply
    229,638.50x = 316,930.83 × 129,036.50
  4. Step 4: Simplify right side
    229,638.50x = 40,895,645,045.30
  5. Step 5: Solve for x
    x = 40,895,645,045.30/229,638.50
  6. Step 6: Final answer
    x = 178,087.06

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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.