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Finding the Fourth Proportional to 154,764, 213,574.32 and 91,141.20

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Solution

The fourth proportional to 154,764, 213,574.32 and 91,141.20 is: 125,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,764 : 213,574.32 = 91,141.20 : x
  2. Step 2: Convert to fraction form
    154,764/213,574.32 = 91,141.20/x
  3. Step 3: Cross multiply
    154,764x = 213,574.32 × 91,141.20
  4. Step 4: Simplify right side
    154,764x = 19,465,419,813.98
  5. Step 5: Solve for x
    x = 19,465,419,813.98/154,764
  6. Step 6: Final answer
    x = 125,774.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.