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Finding the Fourth Proportional to 265,839.53, 398,507.00 and 106,013.57

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Solution

The fourth proportional to 265,839.53, 398,507.00 and 106,013.57 is: 158,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,839.53 : 398,507.00 = 106,013.57 : x
  2. Step 2: Convert to fraction form
    265,839.53/398,507.00 = 106,013.57/x
  3. Step 3: Cross multiply
    265,839.53x = 398,507.00 × 106,013.57
  4. Step 4: Simplify right side
    265,839.53x = 42,247,147,217.39
  5. Step 5: Solve for x
    x = 42,247,147,217.39/265,839.53
  6. Step 6: Final answer
    x = 158,919.74

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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.