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Finding the Fourth Proportional to 70,956, 106,434 and 28,858.98

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Solution

The fourth proportional to 70,956, 106,434 and 28,858.98 is: 43,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,956 : 106,434 = 28,858.98 : x
  2. Step 2: Convert to fraction form
    70,956/106,434 = 28,858.98/x
  3. Step 3: Cross multiply
    70,956x = 106,434 × 28,858.98
  4. Step 4: Simplify right side
    70,956x = 3,071,577,076.45
  5. Step 5: Solve for x
    x = 3,071,577,076.45/70,956
  6. Step 6: Final answer
    x = 43,288.48

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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.