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Finding the Fourth Proportional to 106,128.96, 159,212.64 and 43,765.44

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Solution

The fourth proportional to 106,128.96, 159,212.64 and 43,765.44 is: 65,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,128.96 : 159,212.64 = 43,765.44 : x
  2. Step 2: Convert to fraction form
    106,128.96/159,212.64 = 43,765.44/x
  3. Step 3: Cross multiply
    106,128.96x = 159,212.64 × 43,765.44
  4. Step 4: Simplify right side
    106,128.96x = 6,968,011,243.16
  5. Step 5: Solve for x
    x = 6,968,011,243.16/106,128.96
  6. Step 6: Final answer
    x = 65,656.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.