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Finding the Fourth Proportional to 146,907, 220,380.10 and 58,139.75

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Solution

The fourth proportional to 146,907, 220,380.10 and 58,139.75 is: 87,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,907 : 220,380.10 = 58,139.75 : x
  2. Step 2: Convert to fraction form
    146,907/220,380.10 = 58,139.75/x
  3. Step 3: Cross multiply
    146,907x = 220,380.10 × 58,139.75
  4. Step 4: Simplify right side
    146,907x = 12,812,843,411.97
  5. Step 5: Solve for x
    x = 12,812,843,411.97/146,907
  6. Step 6: Final answer
    x = 87,217.38

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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.