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Finding the Fourth Proportional to 265,182.94, 397,713.66 and 75,639.70

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Solution

The fourth proportional to 265,182.94, 397,713.66 and 75,639.70 is: 113,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,182.94 : 397,713.66 = 75,639.70 : x
  2. Step 2: Convert to fraction form
    265,182.94/397,713.66 = 75,639.70/x
  3. Step 3: Cross multiply
    265,182.94x = 397,713.66 × 75,639.70
  4. Step 4: Simplify right side
    265,182.94x = 30,082,941,928.30
  5. Step 5: Solve for x
    x = 30,082,941,928.30/265,182.94
  6. Step 6: Final answer
    x = 113,442.22

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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.