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Finding the Fourth Proportional to 102,771.72, 153,934.74 and 100,262.88

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Solution

The fourth proportional to 102,771.72, 153,934.74 and 100,262.88 is: 150,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,771.72 : 153,934.74 = 100,262.88 : x
  2. Step 2: Convert to fraction form
    102,771.72/153,934.74 = 100,262.88/x
  3. Step 3: Cross multiply
    102,771.72x = 153,934.74 × 100,262.88
  4. Step 4: Simplify right side
    102,771.72x = 15,433,940,364.45
  5. Step 5: Solve for x
    x = 15,433,940,364.45/102,771.72
  6. Step 6: Final answer
    x = 150,176.92

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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.