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Finding the Fourth Proportional to 70,905.92, 106,356.70 and 28,784.97

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Solution

The fourth proportional to 70,905.92, 106,356.70 and 28,784.97 is: 43,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,905.92 : 106,356.70 = 28,784.97 : x
  2. Step 2: Convert to fraction form
    70,905.92/106,356.70 = 28,784.97/x
  3. Step 3: Cross multiply
    70,905.92x = 106,356.70 × 28,784.97
  4. Step 4: Simplify right side
    70,905.92x = 3,061,474,292.86
  5. Step 5: Solve for x
    x = 3,061,474,292.86/70,905.92
  6. Step 6: Final answer
    x = 43,176.57

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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.