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Finding the Fourth Proportional to 106,201.70, 146,528.70 and 65,917.16

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Solution

The fourth proportional to 106,201.70, 146,528.70 and 65,917.16 is: 90,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,201.70 : 146,528.70 = 65,917.16 : x
  2. Step 2: Convert to fraction form
    106,201.70/146,528.70 = 65,917.16/x
  3. Step 3: Cross multiply
    106,201.70x = 146,528.70 × 65,917.16
  4. Step 4: Simplify right side
    106,201.70x = 9,658,755,762.49
  5. Step 5: Solve for x
    x = 9,658,755,762.49/106,201.70
  6. Step 6: Final answer
    x = 90,947.28

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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.