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Finding the Fourth Proportional to 70,057.60, 104,995.20 and 28,456

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Solution

The fourth proportional to 70,057.60, 104,995.20 and 28,456 is: 42,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,057.60 : 104,995.20 = 28,456 : x
  2. Step 2: Convert to fraction form
    70,057.60/104,995.20 = 28,456/x
  3. Step 3: Cross multiply
    70,057.60x = 104,995.20 × 28,456
  4. Step 4: Simplify right side
    70,057.60x = 2,987,743,411.20
  5. Step 5: Solve for x
    x = 2,987,743,411.20/70,057.60
  6. Step 6: Final answer
    x = 42,646.96

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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.