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Finding the Fourth Proportional to 136,392.84, 204,561.32 and 85,768.65

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Solution

The fourth proportional to 136,392.84, 204,561.32 and 85,768.65 is: 128,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,392.84 : 204,561.32 = 85,768.65 : x
  2. Step 2: Convert to fraction form
    136,392.84/204,561.32 = 85,768.65/x
  3. Step 3: Cross multiply
    136,392.84x = 204,561.32 × 85,768.65
  4. Step 4: Simplify right side
    136,392.84x = 17,544,947,829.77
  5. Step 5: Solve for x
    x = 17,544,947,829.77/136,392.84
  6. Step 6: Final answer
    x = 128,635.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.