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Finding the Fourth Proportional to 146,503.70, 202,165.54 and 81,961.91

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Solution

The fourth proportional to 146,503.70, 202,165.54 and 81,961.91 is: 113,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,503.70 : 202,165.54 = 81,961.91 : x
  2. Step 2: Convert to fraction form
    146,503.70/202,165.54 = 81,961.91/x
  3. Step 3: Cross multiply
    146,503.70x = 202,165.54 × 81,961.91
  4. Step 4: Simplify right side
    146,503.70x = 16,569,872,578.85
  5. Step 5: Solve for x
    x = 16,569,872,578.85/146,503.70
  6. Step 6: Final answer
    x = 113,102.08

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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.