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Finding the Fourth Proportional to 285,166.72, 427,615.68 and 85,409.92

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Solution

The fourth proportional to 285,166.72, 427,615.68 and 85,409.92 is: 128,074.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,166.72 : 427,615.68 = 85,409.92 : x
  2. Step 2: Convert to fraction form
    285,166.72/427,615.68 = 85,409.92/x
  3. Step 3: Cross multiply
    285,166.72x = 427,615.68 × 85,409.92
  4. Step 4: Simplify right side
    285,166.72x = 36,522,621,019.55
  5. Step 5: Solve for x
    x = 36,522,621,019.55/285,166.72
  6. Step 6: Final answer
    x = 128,074.63

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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.