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Finding the Fourth Proportional to 146,610, 219,915 and 53,115.75

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Solution

The fourth proportional to 146,610, 219,915 and 53,115.75 is: 79,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,610 : 219,915 = 53,115.75 : x
  2. Step 2: Convert to fraction form
    146,610/219,915 = 53,115.75/x
  3. Step 3: Cross multiply
    146,610x = 219,915 × 53,115.75
  4. Step 4: Simplify right side
    146,610x = 11,680,950,161.25
  5. Step 5: Solve for x
    x = 11,680,950,161.25/146,610
  6. Step 6: Final answer
    x = 79,673.63

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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.