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Finding the Fourth Proportional to 111,104.46, 153,227.64 and 77,169.48

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Solution

The fourth proportional to 111,104.46, 153,227.64 and 77,169.48 is: 106,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,104.46 : 153,227.64 = 77,169.48 : x
  2. Step 2: Convert to fraction form
    111,104.46/153,227.64 = 77,169.48/x
  3. Step 3: Cross multiply
    111,104.46x = 153,227.64 × 77,169.48
  4. Step 4: Simplify right side
    111,104.46x = 11,824,497,300.43
  5. Step 5: Solve for x
    x = 11,824,497,300.43/111,104.46
  6. Step 6: Final answer
    x = 106,426.85

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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.