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Finding the Fourth Proportional to 154,575.81, 213,310.90 and 86,595.65

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Solution

The fourth proportional to 154,575.81, 213,310.90 and 86,595.65 is: 119,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,575.81 : 213,310.90 = 86,595.65 : x
  2. Step 2: Convert to fraction form
    154,575.81/213,310.90 = 86,595.65/x
  3. Step 3: Cross multiply
    154,575.81x = 213,310.90 × 86,595.65
  4. Step 4: Simplify right side
    154,575.81x = 18,471,794,538.05
  5. Step 5: Solve for x
    x = 18,471,794,538.05/154,575.81
  6. Step 6: Final answer
    x = 119,499.91

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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.