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Finding the Fourth Proportional to 138,039.23, 206,975.16 and 90,043.67

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Solution

The fourth proportional to 138,039.23, 206,975.16 and 90,043.67 is: 135,010.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,039.23 : 206,975.16 = 90,043.67 : x
  2. Step 2: Convert to fraction form
    138,039.23/206,975.16 = 90,043.67/x
  3. Step 3: Cross multiply
    138,039.23x = 206,975.16 × 90,043.67
  4. Step 4: Simplify right side
    138,039.23x = 18,636,801,970.36
  5. Step 5: Solve for x
    x = 18,636,801,970.36/138,039.23
  6. Step 6: Final answer
    x = 135,010.91

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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.