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Finding the Fourth Proportional to 154,614, 213,367.32 and 87,546

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Solution

The fourth proportional to 154,614, 213,367.32 and 87,546 is: 120,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,614 : 213,367.32 = 87,546 : x
  2. Step 2: Convert to fraction form
    154,614/213,367.32 = 87,546/x
  3. Step 3: Cross multiply
    154,614x = 213,367.32 × 87,546
  4. Step 4: Simplify right side
    154,614x = 18,679,455,396.72
  5. Step 5: Solve for x
    x = 18,679,455,396.72/154,614
  6. Step 6: Final answer
    x = 120,813.48

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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.