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Finding the Fourth Proportional to 136,406.57, 188,359.97 and 85,506.71

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Solution

The fourth proportional to 136,406.57, 188,359.97 and 85,506.71 is: 118,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,406.57 : 188,359.97 = 85,506.71 : x
  2. Step 2: Convert to fraction form
    136,406.57/188,359.97 = 85,506.71/x
  3. Step 3: Cross multiply
    136,406.57x = 188,359.97 × 85,506.71
  4. Step 4: Simplify right side
    136,406.57x = 16,106,039,961.07
  5. Step 5: Solve for x
    x = 16,106,039,961.07/136,406.57
  6. Step 6: Final answer
    x = 118,073.79

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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.