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Finding the Fourth Proportional to 138,970.75, 208,453.92 and 44,199.56

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Solution

The fourth proportional to 138,970.75, 208,453.92 and 44,199.56 is: 66,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,970.75 : 208,453.92 = 44,199.56 : x
  2. Step 2: Convert to fraction form
    138,970.75/208,453.92 = 44,199.56/x
  3. Step 3: Cross multiply
    138,970.75x = 208,453.92 × 44,199.56
  4. Step 4: Simplify right side
    138,970.75x = 9,213,572,065.41
  5. Step 5: Solve for x
    x = 9,213,572,065.41/138,970.75
  6. Step 6: Final answer
    x = 66,298.64

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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.