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Finding the Fourth Proportional to 106,135, 146,429.50 and 65,834.26

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Solution

The fourth proportional to 106,135, 146,429.50 and 65,834.26 is: 90,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,135 : 146,429.50 = 65,834.26 : x
  2. Step 2: Convert to fraction form
    106,135/146,429.50 = 65,834.26/x
  3. Step 3: Cross multiply
    106,135x = 146,429.50 × 65,834.26
  4. Step 4: Simplify right side
    106,135x = 9,640,077,774.67
  5. Step 5: Solve for x
    x = 9,640,077,774.67/106,135
  6. Step 6: Final answer
    x = 90,828.45

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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.