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Finding the Fourth Proportional to 247,709.42, 371,469.06 and 105,464.51

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Solution

The fourth proportional to 247,709.42, 371,469.06 and 105,464.51 is: 158,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,709.42 : 371,469.06 = 105,464.51 : x
  2. Step 2: Convert to fraction form
    247,709.42/371,469.06 = 105,464.51/x
  3. Step 3: Cross multiply
    247,709.42x = 371,469.06 × 105,464.51
  4. Step 4: Simplify right side
    247,709.42x = 39,176,803,321.73
  5. Step 5: Solve for x
    x = 39,176,803,321.73/247,709.42
  6. Step 6: Final answer
    x = 158,156.29

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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.