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Finding the Fourth Proportional to 136,969.78, 189,076.50 and 83,271.94

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Solution

The fourth proportional to 136,969.78, 189,076.50 and 83,271.94 is: 114,950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,969.78 : 189,076.50 = 83,271.94 : x
  2. Step 2: Convert to fraction form
    136,969.78/189,076.50 = 83,271.94/x
  3. Step 3: Cross multiply
    136,969.78x = 189,076.50 × 83,271.94
  4. Step 4: Simplify right side
    136,969.78x = 15,744,766,963.41
  5. Step 5: Solve for x
    x = 15,744,766,963.41/136,969.78
  6. Step 6: Final answer
    x = 114,950.66

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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.