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Finding the Fourth Proportional to 138,573.76, 207,705.12 and 68,502.28

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Solution

The fourth proportional to 138,573.76, 207,705.12 and 68,502.28 is: 102,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,573.76 : 207,705.12 = 68,502.28 : x
  2. Step 2: Convert to fraction form
    138,573.76/207,705.12 = 68,502.28/x
  3. Step 3: Cross multiply
    138,573.76x = 207,705.12 × 68,502.28
  4. Step 4: Simplify right side
    138,573.76x = 14,228,274,287.67
  5. Step 5: Solve for x
    x = 14,228,274,287.67/138,573.76
  6. Step 6: Final answer
    x = 102,676.54

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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.