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Finding the Fourth Proportional to 136,960.88, 189,006.01 and 83,235.85

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Solution

The fourth proportional to 136,960.88, 189,006.01 and 83,235.85 is: 114,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,960.88 : 189,006.01 = 83,235.85 : x
  2. Step 2: Convert to fraction form
    136,960.88/189,006.01 = 83,235.85/x
  3. Step 3: Cross multiply
    136,960.88x = 189,006.01 × 83,235.85
  4. Step 4: Simplify right side
    136,960.88x = 15,732,076,280.01
  5. Step 5: Solve for x
    x = 15,732,076,280.01/136,960.88
  6. Step 6: Final answer
    x = 114,865.48

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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.