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Finding the Fourth Proportional to 136,706.93, 188,642.49 and 83,021.35

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Solution

The fourth proportional to 136,706.93, 188,642.49 and 83,021.35 is: 114,561.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,706.93 : 188,642.49 = 83,021.35 : x
  2. Step 2: Convert to fraction form
    136,706.93/188,642.49 = 83,021.35/x
  3. Step 3: Cross multiply
    136,706.93x = 188,642.49 × 83,021.35
  4. Step 4: Simplify right side
    136,706.93x = 15,661,354,187.16
  5. Step 5: Solve for x
    x = 15,661,354,187.16/136,706.93
  6. Step 6: Final answer
    x = 114,561.52

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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.