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Finding the Fourth Proportional to 136,725.64, 188,653.17 and 78,571.11

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Solution

The fourth proportional to 136,725.64, 188,653.17 and 78,571.11 is: 108,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,725.64 : 188,653.17 = 78,571.11 : x
  2. Step 2: Convert to fraction form
    136,725.64/188,653.17 = 78,571.11/x
  3. Step 3: Cross multiply
    136,725.64x = 188,653.17 × 78,571.11
  4. Step 4: Simplify right side
    136,725.64x = 14,822,688,971.92
  5. Step 5: Solve for x
    x = 14,822,688,971.92/136,725.64
  6. Step 6: Final answer
    x = 108,411.92

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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.