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Finding the Fourth Proportional to 110,632.81, 165,792.25 and 85,236.25

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Solution

The fourth proportional to 110,632.81, 165,792.25 and 85,236.25 is: 127,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,632.81 : 165,792.25 = 85,236.25 : x
  2. Step 2: Convert to fraction form
    110,632.81/165,792.25 = 85,236.25/x
  3. Step 3: Cross multiply
    110,632.81x = 165,792.25 × 85,236.25
  4. Step 4: Simplify right side
    110,632.81x = 14,131,509,041.49
  5. Step 5: Solve for x
    x = 14,131,509,041.49/110,632.81
  6. Step 6: Final answer
    x = 127,733.44

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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.