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Finding the Fourth Proportional to 192,342.67, 288,547.22 and 85,764.49

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Solution

The fourth proportional to 192,342.67, 288,547.22 and 85,764.49 is: 128,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,342.67 : 288,547.22 = 85,764.49 : x
  2. Step 2: Convert to fraction form
    192,342.67/288,547.22 = 85,764.49/x
  3. Step 3: Cross multiply
    192,342.67x = 288,547.22 × 85,764.49
  4. Step 4: Simplify right side
    192,342.67x = 24,747,105,164.22
  5. Step 5: Solve for x
    x = 24,747,105,164.22/192,342.67
  6. Step 6: Final answer
    x = 128,661.55

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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.