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Finding the Fourth Proportional to 106,448.68, 146,883.12 and 61,128.64

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Solution

The fourth proportional to 106,448.68, 146,883.12 and 61,128.64 is: 84,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,448.68 : 146,883.12 = 61,128.64 : x
  2. Step 2: Convert to fraction form
    106,448.68/146,883.12 = 61,128.64/x
  3. Step 3: Cross multiply
    106,448.68x = 146,883.12 × 61,128.64
  4. Step 4: Simplify right side
    106,448.68x = 8,978,765,364.56
  5. Step 5: Solve for x
    x = 8,978,765,364.56/106,448.68
  6. Step 6: Final answer
    x = 84,348.30

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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.