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Finding the Fourth Proportional to 136,930.88, 188,963.32 and 76,511.93

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Solution

The fourth proportional to 136,930.88, 188,963.32 and 76,511.93 is: 105,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,930.88 : 188,963.32 = 76,511.93 : x
  2. Step 2: Convert to fraction form
    136,930.88/188,963.32 = 76,511.93/x
  3. Step 3: Cross multiply
    136,930.88x = 188,963.32 × 76,511.93
  4. Step 4: Simplify right side
    136,930.88x = 14,457,947,176.31
  5. Step 5: Solve for x
    x = 14,457,947,176.31/136,930.88
  6. Step 6: Final answer
    x = 105,585.74

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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.