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Finding the Fourth Proportional to 207,854.65, 311,548.69 and 102,747.43

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Solution

The fourth proportional to 207,854.65, 311,548.69 and 102,747.43 is: 154,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,854.65 : 311,548.69 = 102,747.43 : x
  2. Step 2: Convert to fraction form
    207,854.65/311,548.69 = 102,747.43/x
  3. Step 3: Cross multiply
    207,854.65x = 311,548.69 × 102,747.43
  4. Step 4: Simplify right side
    207,854.65x = 32,010,826,181.63
  5. Step 5: Solve for x
    x = 32,010,826,181.63/207,854.65
  6. Step 6: Final answer
    x = 154,005.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.