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Finding the Fourth Proportional to 171,947.10, 257,957.10 and 51,994.20

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Solution

The fourth proportional to 171,947.10, 257,957.10 and 51,994.20 is: 78,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,947.10 : 257,957.10 = 51,994.20 : x
  2. Step 2: Convert to fraction form
    171,947.10/257,957.10 = 51,994.20/x
  3. Step 3: Cross multiply
    171,947.10x = 257,957.10 × 51,994.20
  4. Step 4: Simplify right side
    171,947.10x = 13,412,273,048.82
  5. Step 5: Solve for x
    x = 13,412,273,048.82/171,947.10
  6. Step 6: Final answer
    x = 78,002.32

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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.