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Finding the Fourth Proportional to 138,196.89, 206,963.15 and 78,852.65

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Solution

The fourth proportional to 138,196.89, 206,963.15 and 78,852.65 is: 118,089.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,196.89 : 206,963.15 = 78,852.65 : x
  2. Step 2: Convert to fraction form
    138,196.89/206,963.15 = 78,852.65/x
  3. Step 3: Cross multiply
    138,196.89x = 206,963.15 × 78,852.65
  4. Step 4: Simplify right side
    138,196.89x = 16,319,592,829.85
  5. Step 5: Solve for x
    x = 16,319,592,829.85/138,196.89
  6. Step 6: Final answer
    x = 118,089.44

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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.