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Finding the Fourth Proportional to 171,405.60, 257,108.40 and 82,832.10

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Solution

The fourth proportional to 171,405.60, 257,108.40 and 82,832.10 is: 124,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,405.60 : 257,108.40 = 82,832.10 : x
  2. Step 2: Convert to fraction form
    171,405.60/257,108.40 = 82,832.10/x
  3. Step 3: Cross multiply
    171,405.60x = 257,108.40 × 82,832.10
  4. Step 4: Simplify right side
    171,405.60x = 21,296,828,699.64
  5. Step 5: Solve for x
    x = 21,296,828,699.64/171,405.60
  6. Step 6: Final answer
    x = 124,248.15

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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.