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Finding the Fourth Proportional to 171,396.15, 257,052.29 and 71,557.17

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Solution

The fourth proportional to 171,396.15, 257,052.29 and 71,557.17 is: 107,318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,396.15 : 257,052.29 = 71,557.17 : x
  2. Step 2: Convert to fraction form
    171,396.15/257,052.29 = 71,557.17/x
  3. Step 3: Cross multiply
    171,396.15x = 257,052.29 × 71,557.17
  4. Step 4: Simplify right side
    171,396.15x = 18,393,934,056.63
  5. Step 5: Solve for x
    x = 18,393,934,056.63/171,396.15
  6. Step 6: Final answer
    x = 107,318.25

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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.