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Finding the Fourth Proportional to 305,121.72, 457,676.10 and 105,435.96

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Solution

The fourth proportional to 305,121.72, 457,676.10 and 105,435.96 is: 158,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,121.72 : 457,676.10 = 105,435.96 : x
  2. Step 2: Convert to fraction form
    305,121.72/457,676.10 = 105,435.96/x
  3. Step 3: Cross multiply
    305,121.72x = 457,676.10 × 105,435.96
  4. Step 4: Simplify right side
    305,121.72x = 48,255,518,972.56
  5. Step 5: Solve for x
    x = 48,255,518,972.56/305,121.72
  6. Step 6: Final answer
    x = 158,151.70

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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.