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Finding the Fourth Proportional to 138,969.82, 207,956.42 and 120,314.02

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Solution

The fourth proportional to 138,969.82, 207,956.42 and 120,314.02 is: 180,039.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,969.82 : 207,956.42 = 120,314.02 : x
  2. Step 2: Convert to fraction form
    138,969.82/207,956.42 = 120,314.02/x
  3. Step 3: Cross multiply
    138,969.82x = 207,956.42 × 120,314.02
  4. Step 4: Simplify right side
    138,969.82x = 25,020,072,875.01
  5. Step 5: Solve for x
    x = 25,020,072,875.01/138,969.82
  6. Step 6: Final answer
    x = 180,039.61

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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.