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Finding the Fourth Proportional to 154,461.94, 213,107.91 and 86,468.90

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Solution

The fourth proportional to 154,461.94, 213,107.91 and 86,468.90 is: 119,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,461.94 : 213,107.91 = 86,468.90 : x
  2. Step 2: Convert to fraction form
    154,461.94/213,107.91 = 86,468.90/x
  3. Step 3: Cross multiply
    154,461.94x = 213,107.91 × 86,468.90
  4. Step 4: Simplify right side
    154,461.94x = 18,427,206,559.00
  5. Step 5: Solve for x
    x = 18,427,206,559.00/154,461.94
  6. Step 6: Final answer
    x = 119,299.33

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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.