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Finding the Fourth Proportional to 106,489.26, 146,963.43 and 58,746.78

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Solution

The fourth proportional to 106,489.26, 146,963.43 and 58,746.78 is: 81,075.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,489.26 : 146,963.43 = 58,746.78 : x
  2. Step 2: Convert to fraction form
    106,489.26/146,963.43 = 58,746.78/x
  3. Step 3: Cross multiply
    106,489.26x = 146,963.43 × 58,746.78
  4. Step 4: Simplify right side
    106,489.26x = 8,633,628,290.26
  5. Step 5: Solve for x
    x = 8,633,628,290.26/106,489.26
  6. Step 6: Final answer
    x = 81,075.11

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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.