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Finding the Fourth Proportional to 171,430, 257,311.28 and 82,746

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Solution

The fourth proportional to 171,430, 257,311.28 and 82,746 is: 124,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,430 : 257,311.28 = 82,746 : x
  2. Step 2: Convert to fraction form
    171,430/257,311.28 = 82,746/x
  3. Step 3: Cross multiply
    171,430x = 257,311.28 × 82,746
  4. Step 4: Simplify right side
    171,430x = 21,291,479,174.88
  5. Step 5: Solve for x
    x = 21,291,479,174.88/171,430
  6. Step 6: Final answer
    x = 124,199.26

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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.