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Finding the Fourth Proportional to 171,443.90, 257,165.85 and 71,570.90

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Solution

The fourth proportional to 171,443.90, 257,165.85 and 71,570.90 is: 107,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,443.90 : 257,165.85 = 71,570.90 : x
  2. Step 2: Convert to fraction form
    171,443.90/257,165.85 = 71,570.90/x
  3. Step 3: Cross multiply
    171,443.90x = 257,165.85 × 71,570.90
  4. Step 4: Simplify right side
    171,443.90x = 18,405,591,333.77
  5. Step 5: Solve for x
    x = 18,405,591,333.77/171,443.90
  6. Step 6: Final answer
    x = 107,356.35

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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.