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Finding the Fourth Proportional to 171,905.36, 257,852.64 and 47,245.28

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Solution

The fourth proportional to 171,905.36, 257,852.64 and 47,245.28 is: 70,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,905.36 : 257,852.64 = 47,245.28 : x
  2. Step 2: Convert to fraction form
    171,905.36/257,852.64 = 47,245.28/x
  3. Step 3: Cross multiply
    171,905.36x = 257,852.64 × 47,245.28
  4. Step 4: Simplify right side
    171,905.36x = 12,182,320,175.54
  5. Step 5: Solve for x
    x = 12,182,320,175.54/171,905.36
  6. Step 6: Final answer
    x = 70,866.44

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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.