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Finding the Fourth Proportional to 70,902.28, 106,213.30 and 42,739.18

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Solution

The fourth proportional to 70,902.28, 106,213.30 and 42,739.18 is: 64,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,902.28 : 106,213.30 = 42,739.18 : x
  2. Step 2: Convert to fraction form
    70,902.28/106,213.30 = 42,739.18/x
  3. Step 3: Cross multiply
    70,902.28x = 106,213.30 × 42,739.18
  4. Step 4: Simplify right side
    70,902.28x = 4,539,469,347.09
  5. Step 5: Solve for x
    x = 4,539,469,347.09/70,902.28
  6. Step 6: Final answer
    x = 64,024.31

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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.