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Finding the Fourth Proportional to 137,661.36, 189,961.50 and 77,223.61

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Solution

The fourth proportional to 137,661.36, 189,961.50 and 77,223.61 is: 106,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,661.36 : 189,961.50 = 77,223.61 : x
  2. Step 2: Convert to fraction form
    137,661.36/189,961.50 = 77,223.61/x
  3. Step 3: Cross multiply
    137,661.36x = 189,961.50 × 77,223.61
  4. Step 4: Simplify right side
    137,661.36x = 14,669,512,791.02
  5. Step 5: Solve for x
    x = 14,669,512,791.02/137,661.36
  6. Step 6: Final answer
    x = 106,562.31

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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.