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Finding the Fourth Proportional to 138,056.40, 206,938.80 and 78,764.40

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Solution

The fourth proportional to 138,056.40, 206,938.80 and 78,764.40 is: 118,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,056.40 : 206,938.80 = 78,764.40 : x
  2. Step 2: Convert to fraction form
    138,056.40/206,938.80 = 78,764.40/x
  3. Step 3: Cross multiply
    138,056.40x = 206,938.80 × 78,764.40
  4. Step 4: Simplify right side
    138,056.40x = 16,299,410,418.72
  5. Step 5: Solve for x
    x = 16,299,410,418.72/138,056.40
  6. Step 6: Final answer
    x = 118,063.42

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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.