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Finding the Fourth Proportional to 85,433.60, 128,172.80 and 32,844.80

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Solution

The fourth proportional to 85,433.60, 128,172.80 and 32,844.80 is: 49,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,433.60 : 128,172.80 = 32,844.80 : x
  2. Step 2: Convert to fraction form
    85,433.60/128,172.80 = 32,844.80/x
  3. Step 3: Cross multiply
    85,433.60x = 128,172.80 × 32,844.80
  4. Step 4: Simplify right side
    85,433.60x = 4,209,809,981.44
  5. Step 5: Solve for x
    x = 4,209,809,981.44/85,433.60
  6. Step 6: Final answer
    x = 49,275.81

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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.