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Finding the Fourth Proportional to 154,634, 213,394.92 and 87,578.96

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Solution

The fourth proportional to 154,634, 213,394.92 and 87,578.96 is: 120,858.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,634 : 213,394.92 = 87,578.96 : x
  2. Step 2: Convert to fraction form
    154,634/213,394.92 = 87,578.96/x
  3. Step 3: Cross multiply
    154,634x = 213,394.92 × 87,578.96
  4. Step 4: Simplify right side
    154,634x = 18,688,905,162.88
  5. Step 5: Solve for x
    x = 18,688,905,162.88/154,634
  6. Step 6: Final answer
    x = 120,858.96

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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.