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Finding the Fourth Proportional to 138,970.75, 208,453.92 and 44,199.57

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Solution

The fourth proportional to 138,970.75, 208,453.92 and 44,199.57 is: 66,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,970.75 : 208,453.92 = 44,199.57 : x
  2. Step 2: Convert to fraction form
    138,970.75/208,453.92 = 44,199.57/x
  3. Step 3: Cross multiply
    138,970.75x = 208,453.92 × 44,199.57
  4. Step 4: Simplify right side
    138,970.75x = 9,213,573,628.81
  5. Step 5: Solve for x
    x = 9,213,573,628.81/138,970.75
  6. Step 6: Final answer
    x = 66,298.65

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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.