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Finding the Fourth Proportional to 170,486.76, 255,720.82 and 52,158.09

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Solution

The fourth proportional to 170,486.76, 255,720.82 and 52,158.09 is: 78,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,486.76 : 255,720.82 = 52,158.09 : x
  2. Step 2: Convert to fraction form
    170,486.76/255,720.82 = 52,158.09/x
  3. Step 3: Cross multiply
    170,486.76x = 255,720.82 × 52,158.09
  4. Step 4: Simplify right side
    170,486.76x = 13,337,909,544.43
  5. Step 5: Solve for x
    x = 13,337,909,544.43/170,486.76
  6. Step 6: Final answer
    x = 78,234.28

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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.