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Finding the Fourth Proportional to 170,485.76, 255,719.32 and 52,157.09

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Solution

The fourth proportional to 170,485.76, 255,719.32 and 52,157.09 is: 78,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,485.76 : 255,719.32 = 52,157.09 : x
  2. Step 2: Convert to fraction form
    170,485.76/255,719.32 = 52,157.09/x
  3. Step 3: Cross multiply
    170,485.76x = 255,719.32 × 52,157.09
  4. Step 4: Simplify right side
    170,485.76x = 13,337,575,587.98
  5. Step 5: Solve for x
    x = 13,337,575,587.98/170,485.76
  6. Step 6: Final answer
    x = 78,232.78

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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.