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Finding the Fourth Proportional to 146,771.57, 202,551.77 and 83,108

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Solution

The fourth proportional to 146,771.57, 202,551.77 and 83,108 is: 114,693.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,771.57 : 202,551.77 = 83,108 : x
  2. Step 2: Convert to fraction form
    146,771.57/202,551.77 = 83,108/x
  3. Step 3: Cross multiply
    146,771.57x = 202,551.77 × 83,108
  4. Step 4: Simplify right side
    146,771.57x = 16,833,672,501.16
  5. Step 5: Solve for x
    x = 16,833,672,501.16/146,771.57
  6. Step 6: Final answer
    x = 114,693.01

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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.