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Finding the Fourth Proportional to 229,877.51, 344,367.92 and 129,734.78

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Solution

The fourth proportional to 229,877.51, 344,367.92 and 129,734.78 is: 194,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,877.51 : 344,367.92 = 129,734.78 : x
  2. Step 2: Convert to fraction form
    229,877.51/344,367.92 = 129,734.78/x
  3. Step 3: Cross multiply
    229,877.51x = 344,367.92 × 129,734.78
  4. Step 4: Simplify right side
    229,877.51x = 44,676,494,942.75
  5. Step 5: Solve for x
    x = 44,676,494,942.75/229,877.51
  6. Step 6: Final answer
    x = 194,349.14

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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.